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Finding the Third Proportional to 9,869,247 and 22,007,769

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Solution

The third proportional to 9,869,247 and 22,007,769 is: 49,075,871.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,869,247 : 22,007,769 = 22,007,769 : x
  2. Step 2: Convert to fraction form
    9,869,247/22,007,769 = 22,007,769/x
  3. Step 3: Cross multiply
    9,869,247x = 22,007,769 × 22,007,769
  4. Step 4: Simplify right side
    9,869,247x = 484,341,896,357,361
  5. Step 5: Solve for x
    x = 484,341,896,357,361/9,869,247
  6. Step 6: Final answer
    x = 49,075,871.38

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.