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Finding the Third Proportional to 10,772,543 and 23,038,078

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Solution

The third proportional to 10,772,543 and 23,038,078 is: 49,269,057.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,772,543 : 23,038,078 = 23,038,078 : x
  2. Step 2: Convert to fraction form
    10,772,543/23,038,078 = 23,038,078/x
  3. Step 3: Cross multiply
    10,772,543x = 23,038,078 × 23,038,078
  4. Step 4: Simplify right side
    10,772,543x = 530,753,037,934,084
  5. Step 5: Solve for x
    x = 530,753,037,934,084/10,772,543
  6. Step 6: Final answer
    x = 49,269,057.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.