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Finding the Third Proportional to 4,464,460 and 9,689,996

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Solution

The third proportional to 4,464,460 and 9,689,996 is: 21,031,887.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,464,460 : 9,689,996 = 9,689,996 : x
  2. Step 2: Convert to fraction form
    4,464,460/9,689,996 = 9,689,996/x
  3. Step 3: Cross multiply
    4,464,460x = 9,689,996 × 9,689,996
  4. Step 4: Simplify right side
    4,464,460x = 93,896,022,480,016
  5. Step 5: Solve for x
    x = 93,896,022,480,016/4,464,460
  6. Step 6: Final answer
    x = 21,031,887.95

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