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Finding the Third Proportional to 4,125,016,888 and 6,542,532,852

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Solution

The third proportional to 4,125,016,888 and 6,542,532,852 is: 10,376,863,242.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,125,016,888 : 6,542,532,852 = 6,542,532,852 : x
  2. Step 2: Convert to fraction form
    4,125,016,888/6,542,532,852 = 6,542,532,852/x
  3. Step 3: Cross multiply
    4,125,016,888x = 6,542,532,852 × 6,542,532,852
  4. Step 4: Simplify right side
    4,125,016,888x = 42,804,736,119,499,251,712
  5. Step 5: Solve for x
    x = 42,804,736,119,499,251,712/4,125,016,888
  6. Step 6: Final answer
    x = 10,376,863,242.43

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.