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Finding the Third Proportional to 10,849,663.13 and 16,413,978.38

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Solution

The third proportional to 10,849,663.13 and 16,413,978.38 is: 24,831,986.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,849,663.13 : 16,413,978.38 = 16,413,978.38 : x
  2. Step 2: Convert to fraction form
    10,849,663.13/16,413,978.38 = 16,413,978.38/x
  3. Step 3: Cross multiply
    10,849,663.13x = 16,413,978.38 × 16,413,978.38
  4. Step 4: Simplify right side
    10,849,663.13x = 269,418,686,094,967.62
  5. Step 5: Solve for x
    x = 269,418,686,094,967.62/10,849,663.13
  6. Step 6: Final answer
    x = 24,831,986.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.