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Finding the Third Proportional to 130,456,672 and 279,587,814

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Solution

The third proportional to 130,456,672 and 279,587,814 is: 599,197,760.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,456,672 : 279,587,814 = 279,587,814 : x
  2. Step 2: Convert to fraction form
    130,456,672/279,587,814 = 279,587,814/x
  3. Step 3: Cross multiply
    130,456,672x = 279,587,814 × 279,587,814
  4. Step 4: Simplify right side
    130,456,672x = 78,169,345,737,298,592
  5. Step 5: Solve for x
    x = 78,169,345,737,298,592/130,456,672
  6. Step 6: Final answer
    x = 599,197,760.75

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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.