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Finding the Third Proportional to 8,966,789 and 14,274,897

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Solution

The third proportional to 8,966,789 and 14,274,897 is: 22,725,268.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,966,789 : 14,274,897 = 14,274,897 : x
  2. Step 2: Convert to fraction form
    8,966,789/14,274,897 = 14,274,897/x
  3. Step 3: Cross multiply
    8,966,789x = 14,274,897 × 14,274,897
  4. Step 4: Simplify right side
    8,966,789x = 203,772,684,360,609
  5. Step 5: Solve for x
    x = 203,772,684,360,609/8,966,789
  6. Step 6: Final answer
    x = 22,725,268.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.