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Finding the Third Proportional to 7,185,730,154 and 15,726,075,744

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Solution

The third proportional to 7,185,730,154 and 15,726,075,744 is: 34,416,747,220.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,185,730,154 : 15,726,075,744 = 15,726,075,744 : x
  2. Step 2: Convert to fraction form
    7,185,730,154/15,726,075,744 = 15,726,075,744/x
  3. Step 3: Cross multiply
    7,185,730,154x = 15,726,075,744 × 15,726,075,744
  4. Step 4: Simplify right side
    7,185,730,154x = 247,309,458,306,025,160,704
  5. Step 5: Solve for x
    x = 247,309,458,306,025,160,704/7,185,730,154
  6. Step 6: Final answer
    x = 34,416,747,220.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.