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Finding the Third Proportional to 20,825,772 and 45,020,424

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Solution

The third proportional to 20,825,772 and 45,020,424 is: 97,323,574.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,825,772 : 45,020,424 = 45,020,424 : x
  2. Step 2: Convert to fraction form
    20,825,772/45,020,424 = 45,020,424/x
  3. Step 3: Cross multiply
    20,825,772x = 45,020,424 × 45,020,424
  4. Step 4: Simplify right side
    20,825,772x = 2,026,838,577,139,776
  5. Step 5: Solve for x
    x = 2,026,838,577,139,776/20,825,772
  6. Step 6: Final answer
    x = 97,323,574.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.