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Finding the Third Proportional to 578,397,365.75 and 881,148,645.38

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Solution

The third proportional to 578,397,365.75 and 881,148,645.38 is: 1,342,369,418.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,397,365.75 : 881,148,645.38 = 881,148,645.38 : x
  2. Step 2: Convert to fraction form
    578,397,365.75/881,148,645.38 = 881,148,645.38/x
  3. Step 3: Cross multiply
    578,397,365.75x = 881,148,645.38 × 881,148,645.38
  4. Step 4: Simplify right side
    578,397,365.75x = 776,422,935,246,197,504
  5. Step 5: Solve for x
    x = 776,422,935,246,197,504/578,397,365.75
  6. Step 6: Final answer
    x = 1,342,369,418.02

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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.