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Finding the Third Proportional to 3,125,042,748 and 6,740,735,544

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Solution

The third proportional to 3,125,042,748 and 6,740,735,544 is: 14,539,806,120.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,125,042,748 : 6,740,735,544 = 6,740,735,544 : x
  2. Step 2: Convert to fraction form
    3,125,042,748/6,740,735,544 = 6,740,735,544/x
  3. Step 3: Cross multiply
    3,125,042,748x = 6,740,735,544 × 6,740,735,544
  4. Step 4: Simplify right side
    3,125,042,748x = 45,437,515,674,144,972,800
  5. Step 5: Solve for x
    x = 45,437,515,674,144,972,800/3,125,042,748
  6. Step 6: Final answer
    x = 14,539,806,120.48

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.