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Finding the Third Proportional to 14,260,590 and 31,134,402

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Solution

The third proportional to 14,260,590 and 31,134,402 is: 67,974,115.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,260,590 : 31,134,402 = 31,134,402 : x
  2. Step 2: Convert to fraction form
    14,260,590/31,134,402 = 31,134,402/x
  3. Step 3: Cross multiply
    14,260,590x = 31,134,402 × 31,134,402
  4. Step 4: Simplify right side
    14,260,590x = 969,350,987,897,604
  5. Step 5: Solve for x
    x = 969,350,987,897,604/14,260,590
  6. Step 6: Final answer
    x = 67,974,115.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.