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Finding the Third Proportional to 9,403,140 and 13,966,470

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Solution

The third proportional to 9,403,140 and 13,966,470 is: 20,744,377.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,403,140 : 13,966,470 = 13,966,470 : x
  2. Step 2: Convert to fraction form
    9,403,140/13,966,470 = 13,966,470/x
  3. Step 3: Cross multiply
    9,403,140x = 13,966,470 × 13,966,470
  4. Step 4: Simplify right side
    9,403,140x = 195,062,284,260,900
  5. Step 5: Solve for x
    x = 195,062,284,260,900/9,403,140
  6. Step 6: Final answer
    x = 20,744,377.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.