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Finding the Third Proportional to 1,342,853,284.50 and 2,889,779,974.50

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Solution

The third proportional to 1,342,853,284.50 and 2,889,779,974.50 is: 6,218,719,794.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342,853,284.50 : 2,889,779,974.50 = 2,889,779,974.50 : x
  2. Step 2: Convert to fraction form
    1,342,853,284.50/2,889,779,974.50 = 2,889,779,974.50/x
  3. Step 3: Cross multiply
    1,342,853,284.50x = 2,889,779,974.50 × 2,889,779,974.50
  4. Step 4: Simplify right side
    1,342,853,284.50x = 8,350,828,301,021,220,864
  5. Step 5: Solve for x
    x = 8,350,828,301,021,220,864/1,342,853,284.50
  6. Step 6: Final answer
    x = 6,218,719,794.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.