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Finding the Third Proportional to 19,474,386.19 and 42,180,429.38

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Solution

The third proportional to 19,474,386.19 and 42,180,429.38 is: 91,360,446.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,474,386.19 : 42,180,429.38 = 42,180,429.38 : x
  2. Step 2: Convert to fraction form
    19,474,386.19/42,180,429.38 = 42,180,429.38/x
  3. Step 3: Cross multiply
    19,474,386.19x = 42,180,429.38 × 42,180,429.38
  4. Step 4: Simplify right side
    19,474,386.19x = 1,779,188,622,259,363
  5. Step 5: Solve for x
    x = 1,779,188,622,259,363/19,474,386.19
  6. Step 6: Final answer
    x = 91,360,446.75

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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.