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Finding the Third Proportional to 127,180,972 and 275,490,445

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Solution

The third proportional to 127,180,972 and 275,490,445 is: 596,747,957.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,180,972 : 275,490,445 = 275,490,445 : x
  2. Step 2: Convert to fraction form
    127,180,972/275,490,445 = 275,490,445/x
  3. Step 3: Cross multiply
    127,180,972x = 275,490,445 × 275,490,445
  4. Step 4: Simplify right side
    127,180,972x = 75,894,985,286,298,032
  5. Step 5: Solve for x
    x = 75,894,985,286,298,032/127,180,972
  6. Step 6: Final answer
    x = 596,747,957.60

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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.