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Finding the Third Proportional to 740,412,931,464 and 1,042,664,564,658

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Solution

The third proportional to 740,412,931,464 and 1,042,664,564,658 is: 1,468,301,468,268.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,412,931,464 : 1,042,664,564,658 = 1,042,664,564,658 : x
  2. Step 2: Convert to fraction form
    740,412,931,464/1,042,664,564,658 = 1,042,664,564,658/x
  3. Step 3: Cross multiply
    740,412,931,464x = 1,042,664,564,658 × 1,042,664,564,658
  4. Step 4: Simplify right side
    740,412,931,464x = 1,087,149,394,393,456,718,118,912
  5. Step 5: Solve for x
    x = 1,087,149,394,393,456,718,118,912/740,412,931,464
  6. Step 6: Final answer
    x = 1,468,301,468,268.34

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.