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Finding the Third Proportional to 10,301,928 and 22,376,784

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Solution

The third proportional to 10,301,928 and 22,376,784 is: 48,604,539.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,301,928 : 22,376,784 = 22,376,784 : x
  2. Step 2: Convert to fraction form
    10,301,928/22,376,784 = 22,376,784/x
  3. Step 3: Cross multiply
    10,301,928x = 22,376,784 × 22,376,784
  4. Step 4: Simplify right side
    10,301,928x = 500,720,462,182,656
  5. Step 5: Solve for x
    x = 500,720,462,182,656/10,301,928
  6. Step 6: Final answer
    x = 48,604,539.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.