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Finding the Third Proportional to 10,365,969 and 22,555,070

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Solution

The third proportional to 10,365,969 and 22,555,070 is: 49,077,050.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,365,969 : 22,555,070 = 22,555,070 : x
  2. Step 2: Convert to fraction form
    10,365,969/22,555,070 = 22,555,070/x
  3. Step 3: Cross multiply
    10,365,969x = 22,555,070 × 22,555,070
  4. Step 4: Simplify right side
    10,365,969x = 508,731,182,704,900
  5. Step 5: Solve for x
    x = 508,731,182,704,900/10,365,969
  6. Step 6: Final answer
    x = 49,077,050.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.