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Finding the Third Proportional to 718,748,340 and 1,546,442,106

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Solution

The third proportional to 718,748,340 and 1,546,442,106 is: 3,327,288,640.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    718,748,340 : 1,546,442,106 = 1,546,442,106 : x
  2. Step 2: Convert to fraction form
    718,748,340/1,546,442,106 = 1,546,442,106/x
  3. Step 3: Cross multiply
    718,748,340x = 1,546,442,106 × 1,546,442,106
  4. Step 4: Simplify right side
    718,748,340x = 2,391,483,187,209,715,200
  5. Step 5: Solve for x
    x = 2,391,483,187,209,715,200/718,748,340
  6. Step 6: Final answer
    x = 3,327,288,640.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.