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Finding the Third Proportional to 31,344,684 and 48,435,492

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Solution

The third proportional to 31,344,684 and 48,435,492 is: 74,845,127.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,344,684 : 48,435,492 = 48,435,492 : x
  2. Step 2: Convert to fraction form
    31,344,684/48,435,492 = 48,435,492/x
  3. Step 3: Cross multiply
    31,344,684x = 48,435,492 × 48,435,492
  4. Step 4: Simplify right side
    31,344,684x = 2,345,996,885,282,064
  5. Step 5: Solve for x
    x = 2,345,996,885,282,064/31,344,684
  6. Step 6: Final answer
    x = 74,845,127.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.