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Finding the Third Proportional to 26,358,217,215 and 40,154,020,538

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Solution

The third proportional to 26,358,217,215 and 40,154,020,538 is: 61,170,501,487.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,358,217,215 : 40,154,020,538 = 40,154,020,538 : x
  2. Step 2: Convert to fraction form
    26,358,217,215/40,154,020,538 = 40,154,020,538/x
  3. Step 3: Cross multiply
    26,358,217,215x = 40,154,020,538 × 40,154,020,538
  4. Step 4: Simplify right side
    26,358,217,215x = 1,612,345,365,366,125,887,488
  5. Step 5: Solve for x
    x = 1,612,345,365,366,125,887,488/26,358,217,215
  6. Step 6: Final answer
    x = 61,170,501,487.81

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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.