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Finding the Third Proportional to 516,471,156 and 1,106,623,701

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Solution

The third proportional to 516,471,156 and 1,106,623,701 is: 2,371,121,797.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,471,156 : 1,106,623,701 = 1,106,623,701 : x
  2. Step 2: Convert to fraction form
    516,471,156/1,106,623,701 = 1,106,623,701/x
  3. Step 3: Cross multiply
    516,471,156x = 1,106,623,701 × 1,106,623,701
  4. Step 4: Simplify right side
    516,471,156x = 1,224,616,015,614,937,344
  5. Step 5: Solve for x
    x = 1,224,616,015,614,937,344/516,471,156
  6. Step 6: Final answer
    x = 2,371,121,797.20

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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.