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Finding the Third Proportional to 754,979,042,569 and 1,656,125,916,714

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Solution

The third proportional to 754,979,042,569 and 1,656,125,916,714 is: 3,632,886,341,690.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,979,042,569 : 1,656,125,916,714 = 1,656,125,916,714 : x
  2. Step 2: Convert to fraction form
    754,979,042,569/1,656,125,916,714 = 1,656,125,916,714/x
  3. Step 3: Cross multiply
    754,979,042,569x = 1,656,125,916,714 × 1,656,125,916,714
  4. Step 4: Simplify right side
    754,979,042,569x = 2,742,753,052,011,787,081,220,096
  5. Step 5: Solve for x
    x = 2,742,753,052,011,787,081,220,096/754,979,042,569
  6. Step 6: Final answer
    x = 3,632,886,341,690.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.