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Finding the Third Proportional to 2,602,788,180 and 3,965,168,952

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Solution

The third proportional to 2,602,788,180 and 3,965,168,952 is: 6,040,662,447.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602,788,180 : 3,965,168,952 = 3,965,168,952 : x
  2. Step 2: Convert to fraction form
    2,602,788,180/3,965,168,952 = 3,965,168,952/x
  3. Step 3: Cross multiply
    2,602,788,180x = 3,965,168,952 × 3,965,168,952
  4. Step 4: Simplify right side
    2,602,788,180x = 15,722,564,817,904,779,264
  5. Step 5: Solve for x
    x = 15,722,564,817,904,779,264/2,602,788,180
  6. Step 6: Final answer
    x = 6,040,662,447.57

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Why These Related Problems?

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