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Finding the Third Proportional to 7,676,666,702 and 11,794,349,946

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Solution

The third proportional to 7,676,666,702 and 11,794,349,946 is: 18,120,715,155.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,676,666,702 : 11,794,349,946 = 11,794,349,946 : x
  2. Step 2: Convert to fraction form
    7,676,666,702/11,794,349,946 = 11,794,349,946/x
  3. Step 3: Cross multiply
    7,676,666,702x = 11,794,349,946 × 11,794,349,946
  4. Step 4: Simplify right side
    7,676,666,702x = 139,106,690,648,710,201,344
  5. Step 5: Solve for x
    x = 139,106,690,648,710,201,344/7,676,666,702
  6. Step 6: Final answer
    x = 18,120,715,155.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.