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Finding the Third Proportional to 2,668,496,292,223.50 and 3,757,830,807,892.50

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Solution

The third proportional to 2,668,496,292,223.50 and 3,757,830,807,892.50 is: 5,291,853,851,136.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668,496,292,223.50 : 3,757,830,807,892.50 = 3,757,830,807,892.50 : x
  2. Step 2: Convert to fraction form
    2,668,496,292,223.50/3,757,830,807,892.50 = 3,757,830,807,892.50/x
  3. Step 3: Cross multiply
    2,668,496,292,223.50x = 3,757,830,807,892.50 × 3,757,830,807,892.50
  4. Step 4: Simplify right side
    2,668,496,292,223.50x = 14,121,292,380,745,999,105,130,496
  5. Step 5: Solve for x
    x = 14,121,292,380,745,999,105,130,496/2,668,496,292,223.50
  6. Step 6: Final answer
    x = 5,291,853,851,136.35

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.