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Finding the Third Proportional to 775,225,498 and 1,191,577,649.50

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Solution

The third proportional to 775,225,498 and 1,191,577,649.50 is: 1,831,541,014.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,225,498 : 1,191,577,649.50 = 1,191,577,649.50 : x
  2. Step 2: Convert to fraction form
    775,225,498/1,191,577,649.50 = 1,191,577,649.50/x
  3. Step 3: Cross multiply
    775,225,498x = 1,191,577,649.50 × 1,191,577,649.50
  4. Step 4: Simplify right side
    775,225,498x = 1,419,857,294,787,944,960
  5. Step 5: Solve for x
    x = 1,419,857,294,787,944,960/775,225,498
  6. Step 6: Final answer
    x = 1,831,541,014.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.