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Finding the Third Proportional to 696,908,574 and 1,516,717,746

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Solution

The third proportional to 696,908,574 and 1,516,717,746 is: 3,300,910,344.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,908,574 : 1,516,717,746 = 1,516,717,746 : x
  2. Step 2: Convert to fraction form
    696,908,574/1,516,717,746 = 1,516,717,746/x
  3. Step 3: Cross multiply
    696,908,574x = 1,516,717,746 × 1,516,717,746
  4. Step 4: Simplify right side
    696,908,574x = 2,300,432,721,031,320,576
  5. Step 5: Solve for x
    x = 2,300,432,721,031,320,576/696,908,574
  6. Step 6: Final answer
    x = 3,300,910,344.42

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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.