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Finding the Third Proportional to 14,103,020 and 31,657,432

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Solution

The third proportional to 14,103,020 and 31,657,432 is: 71,062,297.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,103,020 : 31,657,432 = 31,657,432 : x
  2. Step 2: Convert to fraction form
    14,103,020/31,657,432 = 31,657,432/x
  3. Step 3: Cross multiply
    14,103,020x = 31,657,432 × 31,657,432
  4. Step 4: Simplify right side
    14,103,020x = 1,002,193,000,834,624
  5. Step 5: Solve for x
    x = 1,002,193,000,834,624/14,103,020
  6. Step 6: Final answer
    x = 71,062,297.35

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.