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Finding the Third Proportional to 15,783,087,262 and 34,344,634,092

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Solution

The third proportional to 15,783,087,262 and 34,344,634,092 is: 74,735,308,202.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,783,087,262 : 34,344,634,092 = 34,344,634,092 : x
  2. Step 2: Convert to fraction form
    15,783,087,262/34,344,634,092 = 34,344,634,092/x
  3. Step 3: Cross multiply
    15,783,087,262x = 34,344,634,092 × 34,344,634,092
  4. Step 4: Simplify right side
    15,783,087,262x = 1,179,553,890,913,368,670,208
  5. Step 5: Solve for x
    x = 1,179,553,890,913,368,670,208/15,783,087,262
  6. Step 6: Final answer
    x = 74,735,308,202.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.