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Finding the Third Proportional to 4,648,142 and 9,968,663

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Solution

The third proportional to 4,648,142 and 9,968,663 is: 21,379,347.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648,142 : 9,968,663 = 9,968,663 : x
  2. Step 2: Convert to fraction form
    4,648,142/9,968,663 = 9,968,663/x
  3. Step 3: Cross multiply
    4,648,142x = 9,968,663 × 9,968,663
  4. Step 4: Simplify right side
    4,648,142x = 99,374,242,007,569
  5. Step 5: Solve for x
    x = 99,374,242,007,569/4,648,142
  6. Step 6: Final answer
    x = 21,379,347.28

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.