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Finding the Third Proportional to 9,357,680 and 13,712,072

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Solution

The third proportional to 9,357,680 and 13,712,072 is: 20,092,685.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,357,680 : 13,712,072 = 13,712,072 : x
  2. Step 2: Convert to fraction form
    9,357,680/13,712,072 = 13,712,072/x
  3. Step 3: Cross multiply
    9,357,680x = 13,712,072 × 13,712,072
  4. Step 4: Simplify right side
    9,357,680x = 188,020,918,533,184
  5. Step 5: Solve for x
    x = 188,020,918,533,184/9,357,680
  6. Step 6: Final answer
    x = 20,092,685.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.