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Finding the Third Proportional to 684,001,192 and 1,435,187,024

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Solution

The third proportional to 684,001,192 and 1,435,187,024 is: 3,011,342,404.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,001,192 : 1,435,187,024 = 1,435,187,024 : x
  2. Step 2: Convert to fraction form
    684,001,192/1,435,187,024 = 1,435,187,024/x
  3. Step 3: Cross multiply
    684,001,192x = 1,435,187,024 × 1,435,187,024
  4. Step 4: Simplify right side
    684,001,192x = 2,059,761,793,857,976,576
  5. Step 5: Solve for x
    x = 2,059,761,793,857,976,576/684,001,192
  6. Step 6: Final answer
    x = 3,011,342,404.00

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.