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Finding the Third Proportional to 1,342,853,280 and 2,889,779,964.75

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Solution

The third proportional to 1,342,853,280 and 2,889,779,964.75 is: 6,218,719,773.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342,853,280 : 2,889,779,964.75 = 2,889,779,964.75 : x
  2. Step 2: Convert to fraction form
    1,342,853,280/2,889,779,964.75 = 2,889,779,964.75/x
  3. Step 3: Cross multiply
    1,342,853,280x = 2,889,779,964.75 × 2,889,779,964.75
  4. Step 4: Simplify right side
    1,342,853,280x = 8,350,828,244,670,511,104
  5. Step 5: Solve for x
    x = 8,350,828,244,670,511,104/1,342,853,280
  6. Step 6: Final answer
    x = 6,218,719,773.07

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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.