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Finding the Third Proportional to 10,306,047 and 22,387,938

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Solution

The third proportional to 10,306,047 and 22,387,938 is: 48,633,561.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,306,047 : 22,387,938 = 22,387,938 : x
  2. Step 2: Convert to fraction form
    10,306,047/22,387,938 = 22,387,938/x
  3. Step 3: Cross multiply
    10,306,047x = 22,387,938 × 22,387,938
  4. Step 4: Simplify right side
    10,306,047x = 501,219,767,891,844
  5. Step 5: Solve for x
    x = 501,219,767,891,844/10,306,047
  6. Step 6: Final answer
    x = 48,633,561.24

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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.