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Finding the Third Proportional to 803,764,491 and 1,730,686,746

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Solution

The third proportional to 803,764,491 and 1,730,686,746 is: 3,726,560,013.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,764,491 : 1,730,686,746 = 1,730,686,746 : x
  2. Step 2: Convert to fraction form
    803,764,491/1,730,686,746 = 1,730,686,746/x
  3. Step 3: Cross multiply
    803,764,491x = 1,730,686,746 × 1,730,686,746
  4. Step 4: Simplify right side
    803,764,491x = 2,995,276,612,780,068,352
  5. Step 5: Solve for x
    x = 2,995,276,612,780,068,352/803,764,491
  6. Step 6: Final answer
    x = 3,726,560,013.93

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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.