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Finding the Third Proportional to 10,563,812 and 22,934,447.50

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Solution

The third proportional to 10,563,812 and 22,934,447.50 is: 49,791,579.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,563,812 : 22,934,447.50 = 22,934,447.50 : x
  2. Step 2: Convert to fraction form
    10,563,812/22,934,447.50 = 22,934,447.50/x
  3. Step 3: Cross multiply
    10,563,812x = 22,934,447.50 × 22,934,447.50
  4. Step 4: Simplify right side
    10,563,812x = 525,988,882,130,256.25
  5. Step 5: Solve for x
    x = 525,988,882,130,256.25/10,563,812
  6. Step 6: Final answer
    x = 49,791,579.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.