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Finding the Third Proportional to 22,913,882,880 and 49,353,559,680

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Solution

The third proportional to 22,913,882,880 and 49,353,559,680 is: 106,301,226,459.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,913,882,880 : 49,353,559,680 = 49,353,559,680 : x
  2. Step 2: Convert to fraction form
    22,913,882,880/49,353,559,680 = 49,353,559,680/x
  3. Step 3: Cross multiply
    22,913,882,880x = 49,353,559,680 × 49,353,559,680
  4. Step 4: Simplify right side
    22,913,882,880x = 2,435,773,853,087,321,554,944
  5. Step 5: Solve for x
    x = 2,435,773,853,087,321,554,944/22,913,882,880
  6. Step 6: Final answer
    x = 106,301,226,459.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.