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Finding the Third Proportional to 9,383,216,019 and 13,768,071,502.50

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Solution

The third proportional to 9,383,216,019 and 13,768,071,502.50 is: 20,202,006,701.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,383,216,019 : 13,768,071,502.50 = 13,768,071,502.50 : x
  2. Step 2: Convert to fraction form
    9,383,216,019/13,768,071,502.50 = 13,768,071,502.50/x
  3. Step 3: Cross multiply
    9,383,216,019x = 13,768,071,502.50 × 13,768,071,502.50
  4. Step 4: Simplify right side
    9,383,216,019x = 189,559,792,897,952,612,352
  5. Step 5: Solve for x
    x = 189,559,792,897,952,612,352/9,383,216,019
  6. Step 6: Final answer
    x = 20,202,006,701.55

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.