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Finding the Third Proportional to 346,913,856 and 754,291,584

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Solution

The third proportional to 346,913,856 and 754,291,584 is: 1,640,049,204.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,913,856 : 754,291,584 = 754,291,584 : x
  2. Step 2: Convert to fraction form
    346,913,856/754,291,584 = 754,291,584/x
  3. Step 3: Cross multiply
    346,913,856x = 754,291,584 × 754,291,584
  4. Step 4: Simplify right side
    346,913,856x = 568,955,793,693,229,056
  5. Step 5: Solve for x
    x = 568,955,793,693,229,056/346,913,856
  6. Step 6: Final answer
    x = 1,640,049,204.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.