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Finding the Third Proportional to 9,704,902 and 20,773,090

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Solution

The third proportional to 9,704,902 and 20,773,090 is: 44,464,258.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704,902 : 20,773,090 = 20,773,090 : x
  2. Step 2: Convert to fraction form
    9,704,902/20,773,090 = 20,773,090/x
  3. Step 3: Cross multiply
    9,704,902x = 20,773,090 × 20,773,090
  4. Step 4: Simplify right side
    9,704,902x = 431,521,268,148,100
  5. Step 5: Solve for x
    x = 431,521,268,148,100/9,704,902
  6. Step 6: Final answer
    x = 44,464,258.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.