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Finding the Third Proportional to 7,241,604 and 15,078,468

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Solution

The third proportional to 7,241,604 and 15,078,468 is: 31,396,386.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,241,604 : 15,078,468 = 15,078,468 : x
  2. Step 2: Convert to fraction form
    7,241,604/15,078,468 = 15,078,468/x
  3. Step 3: Cross multiply
    7,241,604x = 15,078,468 × 15,078,468
  4. Step 4: Simplify right side
    7,241,604x = 227,360,197,227,024
  5. Step 5: Solve for x
    x = 227,360,197,227,024/7,241,604
  6. Step 6: Final answer
    x = 31,396,386.38

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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.