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Finding the Third Proportional to 873,942,969.38 and 1,872,541,886.06

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Solution

The third proportional to 873,942,969.38 and 1,872,541,886.06 is: 4,012,176,123.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,942,969.38 : 1,872,541,886.06 = 1,872,541,886.06 : x
  2. Step 2: Convert to fraction form
    873,942,969.38/1,872,541,886.06 = 1,872,541,886.06/x
  3. Step 3: Cross multiply
    873,942,969.38x = 1,872,541,886.06 × 1,872,541,886.06
  4. Step 4: Simplify right side
    873,942,969.38x = 3,506,413,115,058,504,704
  5. Step 5: Solve for x
    x = 3,506,413,115,058,504,704/873,942,969.38
  6. Step 6: Final answer
    x = 4,012,176,123.54

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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.