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Finding the Third Proportional to 10,296,350.25 and 22,570,842

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Solution

The third proportional to 10,296,350.25 and 22,570,842 is: 49,478,008.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,296,350.25 : 22,570,842 = 22,570,842 : x
  2. Step 2: Convert to fraction form
    10,296,350.25/22,570,842 = 22,570,842/x
  3. Step 3: Cross multiply
    10,296,350.25x = 22,570,842 × 22,570,842
  4. Step 4: Simplify right side
    10,296,350.25x = 509,442,908,588,964
  5. Step 5: Solve for x
    x = 509,442,908,588,964/10,296,350.25
  6. Step 6: Final answer
    x = 49,478,008.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.