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Finding the Third Proportional to 349,686,624 and 762,658,360

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Solution

The third proportional to 349,686,624 and 762,658,360 is: 1,663,340,071.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,686,624 : 762,658,360 = 762,658,360 : x
  2. Step 2: Convert to fraction form
    349,686,624/762,658,360 = 762,658,360/x
  3. Step 3: Cross multiply
    349,686,624x = 762,658,360 × 762,658,360
  4. Step 4: Simplify right side
    349,686,624x = 581,647,774,077,889,536
  5. Step 5: Solve for x
    x = 581,647,774,077,889,536/349,686,624
  6. Step 6: Final answer
    x = 1,663,340,071.25

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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.