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Finding the Third Proportional to 2,668,496,292,224 and 3,757,830,807,892

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Solution

The third proportional to 2,668,496,292,224 and 3,757,830,807,892 is: 5,291,853,851,133.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668,496,292,224 : 3,757,830,807,892 = 3,757,830,807,892 : x
  2. Step 2: Convert to fraction form
    2,668,496,292,224/3,757,830,807,892 = 3,757,830,807,892/x
  3. Step 3: Cross multiply
    2,668,496,292,224x = 3,757,830,807,892 × 3,757,830,807,892
  4. Step 4: Simplify right side
    2,668,496,292,224x = 14,121,292,380,742,241,008,746,496
  5. Step 5: Solve for x
    x = 14,121,292,380,742,241,008,746,496/2,668,496,292,224
  6. Step 6: Final answer
    x = 5,291,853,851,133.95

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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.