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Finding the Third Proportional to 10,525,039 and 22,674,289

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Solution

The third proportional to 10,525,039 and 22,674,289 is: 48,847,646.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,525,039 : 22,674,289 = 22,674,289 : x
  2. Step 2: Convert to fraction form
    10,525,039/22,674,289 = 22,674,289/x
  3. Step 3: Cross multiply
    10,525,039x = 22,674,289 × 22,674,289
  4. Step 4: Simplify right side
    10,525,039x = 514,123,381,655,521
  5. Step 5: Solve for x
    x = 514,123,381,655,521/10,525,039
  6. Step 6: Final answer
    x = 48,847,646.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.