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Finding the Third Proportional to 607,882,464 and 1,433,555,712

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Solution

The third proportional to 607,882,464 and 1,433,555,712 is: 3,380,722,592.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,882,464 : 1,433,555,712 = 1,433,555,712 : x
  2. Step 2: Convert to fraction form
    607,882,464/1,433,555,712 = 1,433,555,712/x
  3. Step 3: Cross multiply
    607,882,464x = 1,433,555,712 × 1,433,555,712
  4. Step 4: Simplify right side
    607,882,464x = 2,055,081,979,407,826,944
  5. Step 5: Solve for x
    x = 2,055,081,979,407,826,944/607,882,464
  6. Step 6: Final answer
    x = 3,380,722,592.14

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.