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Finding the Third Proportional to 2,438,182,792 and 5,342,173,984

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Solution

The third proportional to 2,438,182,792 and 5,342,173,984 is: 11,704,956,235.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,438,182,792 : 5,342,173,984 = 5,342,173,984 : x
  2. Step 2: Convert to fraction form
    2,438,182,792/5,342,173,984 = 5,342,173,984/x
  3. Step 3: Cross multiply
    2,438,182,792x = 5,342,173,984 × 5,342,173,984
  4. Step 4: Simplify right side
    2,438,182,792x = 28,538,822,875,326,431,232
  5. Step 5: Solve for x
    x = 28,538,822,875,326,431,232/2,438,182,792
  6. Step 6: Final answer
    x = 11,704,956,235.84

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.