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Finding the Third Proportional to 60,065,937,849 and 81,799,554,810

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Solution

The third proportional to 60,065,937,849 and 81,799,554,810 is: 111,397,031,441.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,065,937,849 : 81,799,554,810 = 81,799,554,810 : x
  2. Step 2: Convert to fraction form
    60,065,937,849/81,799,554,810 = 81,799,554,810/x
  3. Step 3: Cross multiply
    60,065,937,849x = 81,799,554,810 × 81,799,554,810
  4. Step 4: Simplify right side
    60,065,937,849x = 6,691,167,167,114,193,666,048
  5. Step 5: Solve for x
    x = 6,691,167,167,114,193,666,048/60,065,937,849
  6. Step 6: Final answer
    x = 111,397,031,441.27

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.