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Finding the Third Proportional to 7,416,791 and 15,402,019

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Solution

The third proportional to 7,416,791 and 15,402,019 is: 31,984,478.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,416,791 : 15,402,019 = 15,402,019 : x
  2. Step 2: Convert to fraction form
    7,416,791/15,402,019 = 15,402,019/x
  3. Step 3: Cross multiply
    7,416,791x = 15,402,019 × 15,402,019
  4. Step 4: Simplify right side
    7,416,791x = 237,222,189,276,361
  5. Step 5: Solve for x
    x = 237,222,189,276,361/7,416,791
  6. Step 6: Final answer
    x = 31,984,478.10

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.