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Finding the Third Proportional to 10,312,680.80 and 22,299,882.19

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Solution

The third proportional to 10,312,680.80 and 22,299,882.19 is: 48,220,705.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,312,680.80 : 22,299,882.19 = 22,299,882.19 : x
  2. Step 2: Convert to fraction form
    10,312,680.80/22,299,882.19 = 22,299,882.19/x
  3. Step 3: Cross multiply
    10,312,680.80x = 22,299,882.19 × 22,299,882.19
  4. Step 4: Simplify right side
    10,312,680.80x = 497,284,745,576,379.81
  5. Step 5: Solve for x
    x = 497,284,745,576,379.81/10,312,680.80
  6. Step 6: Final answer
    x = 48,220,705.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.