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Finding the Third Proportional to 60,065,937,852 and 81,799,554,814.50

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Solution

The third proportional to 60,065,937,852 and 81,799,554,814.50 is: 111,397,031,447.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,065,937,852 : 81,799,554,814.50 = 81,799,554,814.50 : x
  2. Step 2: Convert to fraction form
    60,065,937,852/81,799,554,814.50 = 81,799,554,814.50/x
  3. Step 3: Cross multiply
    60,065,937,852x = 81,799,554,814.50 × 81,799,554,814.50
  4. Step 4: Simplify right side
    60,065,937,852x = 6,691,167,167,850,390,487,040
  5. Step 5: Solve for x
    x = 6,691,167,167,850,390,487,040/60,065,937,852
  6. Step 6: Final answer
    x = 111,397,031,447.96

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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.