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Finding the Third Proportional to 6,875,912,479.50 and 14,732,034,471

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Solution

The third proportional to 6,875,912,479.50 and 14,732,034,471 is: 31,564,223,701.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,875,912,479.50 : 14,732,034,471 = 14,732,034,471 : x
  2. Step 2: Convert to fraction form
    6,875,912,479.50/14,732,034,471 = 14,732,034,471/x
  3. Step 3: Cross multiply
    6,875,912,479.50x = 14,732,034,471 × 14,732,034,471
  4. Step 4: Simplify right side
    6,875,912,479.50x = 217,032,839,654,732,234,752
  5. Step 5: Solve for x
    x = 217,032,839,654,732,234,752/6,875,912,479.50
  6. Step 6: Final answer
    x = 31,564,223,701.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.