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Finding the Third Proportional to 127,522,520 and 272,774,320

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Solution

The third proportional to 127,522,520 and 272,774,320 is: 583,472,077.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,522,520 : 272,774,320 = 272,774,320 : x
  2. Step 2: Convert to fraction form
    127,522,520/272,774,320 = 272,774,320/x
  3. Step 3: Cross multiply
    127,522,520x = 272,774,320 × 272,774,320
  4. Step 4: Simplify right side
    127,522,520x = 74,405,829,651,462,400
  5. Step 5: Solve for x
    x = 74,405,829,651,462,400/127,522,520
  6. Step 6: Final answer
    x = 583,472,077.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.