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Finding the Third Proportional to 696,908,580 and 1,516,717,758

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Solution

The third proportional to 696,908,580 and 1,516,717,758 is: 3,300,910,368.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,908,580 : 1,516,717,758 = 1,516,717,758 : x
  2. Step 2: Convert to fraction form
    696,908,580/1,516,717,758 = 1,516,717,758/x
  3. Step 3: Cross multiply
    696,908,580x = 1,516,717,758 × 1,516,717,758
  4. Step 4: Simplify right side
    696,908,580x = 2,300,432,757,432,546,560
  5. Step 5: Solve for x
    x = 2,300,432,757,432,546,560/696,908,580
  6. Step 6: Final answer
    x = 3,300,910,368.23

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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.