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Finding the Third Proportional to 395,042,250 and 868,280,688

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Solution

The third proportional to 395,042,250 and 868,280,688 is: 1,908,432,207.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,042,250 : 868,280,688 = 868,280,688 : x
  2. Step 2: Convert to fraction form
    395,042,250/868,280,688 = 868,280,688/x
  3. Step 3: Cross multiply
    395,042,250x = 868,280,688 × 868,280,688
  4. Step 4: Simplify right side
    395,042,250x = 753,911,353,153,753,344
  5. Step 5: Solve for x
    x = 753,911,353,153,753,344/395,042,250
  6. Step 6: Final answer
    x = 1,908,432,207.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.