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Finding the Third Proportional to 2,742,550,948 and 4,177,993,002

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Solution

The third proportional to 2,742,550,948 and 4,177,993,002 is: 6,364,740,657.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742,550,948 : 4,177,993,002 = 4,177,993,002 : x
  2. Step 2: Convert to fraction form
    2,742,550,948/4,177,993,002 = 4,177,993,002/x
  3. Step 3: Cross multiply
    2,742,550,948x = 4,177,993,002 × 4,177,993,002
  4. Step 4: Simplify right side
    2,742,550,948x = 17,455,625,524,760,971,264
  5. Step 5: Solve for x
    x = 17,455,625,524,760,971,264/2,742,550,948
  6. Step 6: Final answer
    x = 6,364,740,657.78

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.