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Finding the Third Proportional to 516,471,156 and 1,106,623,704

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Solution

The third proportional to 516,471,156 and 1,106,623,704 is: 2,371,121,810.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,471,156 : 1,106,623,704 = 1,106,623,704 : x
  2. Step 2: Convert to fraction form
    516,471,156/1,106,623,704 = 1,106,623,704/x
  3. Step 3: Cross multiply
    516,471,156x = 1,106,623,704 × 1,106,623,704
  4. Step 4: Simplify right side
    516,471,156x = 1,224,616,022,254,679,552
  5. Step 5: Solve for x
    x = 1,224,616,022,254,679,552/516,471,156
  6. Step 6: Final answer
    x = 2,371,121,810.05

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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.