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Finding the Third Proportional to 10,297,565 and 22,189,871

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Solution

The third proportional to 10,297,565 and 22,189,871 is: 47,816,194.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297,565 : 22,189,871 = 22,189,871 : x
  2. Step 2: Convert to fraction form
    10,297,565/22,189,871 = 22,189,871/x
  3. Step 3: Cross multiply
    10,297,565x = 22,189,871 × 22,189,871
  4. Step 4: Simplify right side
    10,297,565x = 492,390,374,996,641
  5. Step 5: Solve for x
    x = 492,390,374,996,641/10,297,565
  6. Step 6: Final answer
    x = 47,816,194.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.