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Finding the Third Proportional to 30,178,476 and 47,864,934

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Solution

The third proportional to 30,178,476 and 47,864,934 is: 75,916,752.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,178,476 : 47,864,934 = 47,864,934 : x
  2. Step 2: Convert to fraction form
    30,178,476/47,864,934 = 47,864,934/x
  3. Step 3: Cross multiply
    30,178,476x = 47,864,934 × 47,864,934
  4. Step 4: Simplify right side
    30,178,476x = 2,291,051,906,824,356
  5. Step 5: Solve for x
    x = 2,291,051,906,824,356/30,178,476
  6. Step 6: Final answer
    x = 75,916,752.95

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.