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Finding the Third Proportional to 295,321,446 and 636,426,688

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Solution

The third proportional to 295,321,446 and 636,426,688 is: 1,371,518,847.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,321,446 : 636,426,688 = 636,426,688 : x
  2. Step 2: Convert to fraction form
    295,321,446/636,426,688 = 636,426,688/x
  3. Step 3: Cross multiply
    295,321,446x = 636,426,688 × 636,426,688
  4. Step 4: Simplify right side
    295,321,446x = 405,038,929,198,649,344
  5. Step 5: Solve for x
    x = 405,038,929,198,649,344/295,321,446
  6. Step 6: Final answer
    x = 1,371,518,847.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.