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Finding the Third Proportional to 10,849,666.13 and 16,413,982.88

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Solution

The third proportional to 10,849,666.13 and 16,413,982.88 is: 24,831,993.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,849,666.13 : 16,413,982.88 = 16,413,982.88 : x
  2. Step 2: Convert to fraction form
    10,849,666.13/16,413,982.88 = 16,413,982.88/x
  3. Step 3: Cross multiply
    10,849,666.13x = 16,413,982.88 × 16,413,982.88
  4. Step 4: Simplify right side
    10,849,666.13x = 269,418,833,820,793.25
  5. Step 5: Solve for x
    x = 269,418,833,820,793.25/10,849,666.13
  6. Step 6: Final answer
    x = 24,831,993.05

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1.5x scale

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.