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Finding the Third Proportional to 9,642,264 and 14,587,806

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Solution

The third proportional to 9,642,264 and 14,587,806 is: 22,069,929.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642,264 : 14,587,806 = 14,587,806 : x
  2. Step 2: Convert to fraction form
    9,642,264/14,587,806 = 14,587,806/x
  3. Step 3: Cross multiply
    9,642,264x = 14,587,806 × 14,587,806
  4. Step 4: Simplify right side
    9,642,264x = 212,804,083,893,636
  5. Step 5: Solve for x
    x = 212,804,083,893,636/9,642,264
  6. Step 6: Final answer
    x = 22,069,929.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.