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Finding the Third Proportional to 292,708,576 and 636,433,540

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Solution

The third proportional to 292,708,576 and 636,433,540 is: 1,383,791,538.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,708,576 : 636,433,540 = 636,433,540 : x
  2. Step 2: Convert to fraction form
    292,708,576/636,433,540 = 636,433,540/x
  3. Step 3: Cross multiply
    292,708,576x = 636,433,540 × 636,433,540
  4. Step 4: Simplify right side
    292,708,576x = 405,047,650,836,931,584
  5. Step 5: Solve for x
    x = 405,047,650,836,931,584/292,708,576
  6. Step 6: Final answer
    x = 1,383,791,538.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.