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Finding the Third Proportional to 11,403,721 and 23,615,871

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Solution

The third proportional to 11,403,721 and 23,615,871 is: 48,905,910.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,403,721 : 23,615,871 = 23,615,871 : x
  2. Step 2: Convert to fraction form
    11,403,721/23,615,871 = 23,615,871/x
  3. Step 3: Cross multiply
    11,403,721x = 23,615,871 × 23,615,871
  4. Step 4: Simplify right side
    11,403,721x = 557,709,363,088,641
  5. Step 5: Solve for x
    x = 557,709,363,088,641/11,403,721
  6. Step 6: Final answer
    x = 48,905,910.89

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.