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Finding the Third Proportional to 7,581,254 and 17,896,769

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Solution

The third proportional to 7,581,254 and 17,896,769 is: 42,248,200.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,581,254 : 17,896,769 = 17,896,769 : x
  2. Step 2: Convert to fraction form
    7,581,254/17,896,769 = 17,896,769/x
  3. Step 3: Cross multiply
    7,581,254x = 17,896,769 × 17,896,769
  4. Step 4: Simplify right side
    7,581,254x = 320,294,340,639,361
  5. Step 5: Solve for x
    x = 320,294,340,639,361/7,581,254
  6. Step 6: Final answer
    x = 42,248,200.71

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.