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Finding the Third Proportional to 696,908,576 and 1,516,717,750

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Solution

The third proportional to 696,908,576 and 1,516,717,750 is: 3,300,910,352.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,908,576 : 1,516,717,750 = 1,516,717,750 : x
  2. Step 2: Convert to fraction form
    696,908,576/1,516,717,750 = 1,516,717,750/x
  3. Step 3: Cross multiply
    696,908,576x = 1,516,717,750 × 1,516,717,750
  4. Step 4: Simplify right side
    696,908,576x = 2,300,432,733,165,062,400
  5. Step 5: Solve for x
    x = 2,300,432,733,165,062,400/696,908,576
  6. Step 6: Final answer
    x = 3,300,910,352.36

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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.