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Finding the Third Proportional to 4,748,649 and 9,664,980

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Solution

The third proportional to 4,748,649 and 9,664,980 is: 19,671,245.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,748,649 : 9,664,980 = 9,664,980 : x
  2. Step 2: Convert to fraction form
    4,748,649/9,664,980 = 9,664,980/x
  3. Step 3: Cross multiply
    4,748,649x = 9,664,980 × 9,664,980
  4. Step 4: Simplify right side
    4,748,649x = 93,411,838,400,400
  5. Step 5: Solve for x
    x = 93,411,838,400,400/4,748,649
  6. Step 6: Final answer
    x = 19,671,245.11

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.