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Finding the Third Proportional to 130,456,680 and 279,587,826

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Solution

The third proportional to 130,456,680 and 279,587,826 is: 599,197,775.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,456,680 : 279,587,826 = 279,587,826 : x
  2. Step 2: Convert to fraction form
    130,456,680/279,587,826 = 279,587,826/x
  3. Step 3: Cross multiply
    130,456,680x = 279,587,826 × 279,587,826
  4. Step 4: Simplify right side
    130,456,680x = 78,169,352,447,406,272
  5. Step 5: Solve for x
    x = 78,169,352,447,406,272/130,456,680
  6. Step 6: Final answer
    x = 599,197,775.44

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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.