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Finding the Third Proportional to 12,337,724 and 26,734,780

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Solution

The third proportional to 12,337,724 and 26,734,780 is: 57,931,954.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,337,724 : 26,734,780 = 26,734,780 : x
  2. Step 2: Convert to fraction form
    12,337,724/26,734,780 = 26,734,780/x
  3. Step 3: Cross multiply
    12,337,724x = 26,734,780 × 26,734,780
  4. Step 4: Simplify right side
    12,337,724x = 714,748,461,648,400
  5. Step 5: Solve for x
    x = 714,748,461,648,400/12,337,724
  6. Step 6: Final answer
    x = 57,931,954.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.