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Finding the Third Proportional to 9,947,324 and 15,817,773

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Solution

The third proportional to 9,947,324 and 15,817,773 is: 25,152,688.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,947,324 : 15,817,773 = 15,817,773 : x
  2. Step 2: Convert to fraction form
    9,947,324/15,817,773 = 15,817,773/x
  3. Step 3: Cross multiply
    9,947,324x = 15,817,773 × 15,817,773
  4. Step 4: Simplify right side
    9,947,324x = 250,201,942,679,529
  5. Step 5: Solve for x
    x = 250,201,942,679,529/9,947,324
  6. Step 6: Final answer
    x = 25,152,688.57

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.