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Finding the Third Proportional to 8,032,229 and 17,658,784

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Solution

The third proportional to 8,032,229 and 17,658,784 is: 38,822,679.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,032,229 : 17,658,784 = 17,658,784 : x
  2. Step 2: Convert to fraction form
    8,032,229/17,658,784 = 17,658,784/x
  3. Step 3: Cross multiply
    8,032,229x = 17,658,784 × 17,658,784
  4. Step 4: Simplify right side
    8,032,229x = 311,832,652,358,656
  5. Step 5: Solve for x
    x = 311,832,652,358,656/8,032,229
  6. Step 6: Final answer
    x = 38,822,679.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.