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Finding the Third Proportional to 2,353,558,129.50 and 5,120,813,428.13

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Solution

The third proportional to 2,353,558,129.50 and 5,120,813,428.13 is: 11,141,738,900.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353,558,129.50 : 5,120,813,428.13 = 5,120,813,428.13 : x
  2. Step 2: Convert to fraction form
    2,353,558,129.50/5,120,813,428.13 = 5,120,813,428.13/x
  3. Step 3: Cross multiply
    2,353,558,129.50x = 5,120,813,428.13 × 5,120,813,428.13
  4. Step 4: Simplify right side
    2,353,558,129.50x = 26,222,730,165,665,312,768
  5. Step 5: Solve for x
    x = 26,222,730,165,665,312,768/2,353,558,129.50
  6. Step 6: Final answer
    x = 11,141,738,900.34

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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.