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Finding the Third Proportional to 314,930,316 and 687,167,160

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Solution

The third proportional to 314,930,316 and 687,167,160 is: 1,499,375,200.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,930,316 : 687,167,160 = 687,167,160 : x
  2. Step 2: Convert to fraction form
    314,930,316/687,167,160 = 687,167,160/x
  3. Step 3: Cross multiply
    314,930,316x = 687,167,160 × 687,167,160
  4. Step 4: Simplify right side
    314,930,316x = 472,198,705,782,465,600
  5. Step 5: Solve for x
    x = 472,198,705,782,465,600/314,930,316
  6. Step 6: Final answer
    x = 1,499,375,200.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.