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Finding the Third Proportional to 127,602,560 and 279,909,248

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Solution

The third proportional to 127,602,560 and 279,909,248 is: 614,009,523.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,602,560 : 279,909,248 = 279,909,248 : x
  2. Step 2: Convert to fraction form
    127,602,560/279,909,248 = 279,909,248/x
  3. Step 3: Cross multiply
    127,602,560x = 279,909,248 × 279,909,248
  4. Step 4: Simplify right side
    127,602,560x = 78,349,187,115,925,504
  5. Step 5: Solve for x
    x = 78,349,187,115,925,504/127,602,560
  6. Step 6: Final answer
    x = 614,009,523.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.