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Finding the Third Proportional to 468,127,303.38 and 688,616,867

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Solution

The third proportional to 468,127,303.38 and 688,616,867 is: 1,012,957,770.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,127,303.38 : 688,616,867 = 688,616,867 : x
  2. Step 2: Convert to fraction form
    468,127,303.38/688,616,867 = 688,616,867/x
  3. Step 3: Cross multiply
    468,127,303.38x = 688,616,867 × 688,616,867
  4. Step 4: Simplify right side
    468,127,303.38x = 474,193,189,516,895,680
  5. Step 5: Solve for x
    x = 474,193,189,516,895,680/468,127,303.38
  6. Step 6: Final answer
    x = 1,012,957,770.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.