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Finding the Third Proportional to 10,223,911.13 and 21,884,028.19

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Solution

The third proportional to 10,223,911.13 and 21,884,028.19 is: 46,842,219.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,223,911.13 : 21,884,028.19 = 21,884,028.19 : x
  2. Step 2: Convert to fraction form
    10,223,911.13/21,884,028.19 = 21,884,028.19/x
  3. Step 3: Cross multiply
    10,223,911.13x = 21,884,028.19 × 21,884,028.19
  4. Step 4: Simplify right side
    10,223,911.13x = 478,910,689,711,294.56
  5. Step 5: Solve for x
    x = 478,910,689,711,294.56/10,223,911.13
  6. Step 6: Final answer
    x = 46,842,219.56

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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.