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Finding the Third Proportional to 858,723,464 and 1,886,144,656

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Solution

The third proportional to 858,723,464 and 1,886,144,656 is: 4,142,825,732.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,723,464 : 1,886,144,656 = 1,886,144,656 : x
  2. Step 2: Convert to fraction form
    858,723,464/1,886,144,656 = 1,886,144,656/x
  3. Step 3: Cross multiply
    858,723,464x = 1,886,144,656 × 1,886,144,656
  4. Step 4: Simplify right side
    858,723,464x = 3,557,541,663,357,358,080
  5. Step 5: Solve for x
    x = 3,557,541,663,357,358,080/858,723,464
  6. Step 6: Final answer
    x = 4,142,825,732.03

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.