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Finding the Third Proportional to 2,412,778,153 and 5,206,645,431

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Solution

The third proportional to 2,412,778,153 and 5,206,645,431 is: 11,235,660,688.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412,778,153 : 5,206,645,431 = 5,206,645,431 : x
  2. Step 2: Convert to fraction form
    2,412,778,153/5,206,645,431 = 5,206,645,431/x
  3. Step 3: Cross multiply
    2,412,778,153x = 5,206,645,431 × 5,206,645,431
  4. Step 4: Simplify right side
    2,412,778,153x = 27,109,156,644,153,176,064
  5. Step 5: Solve for x
    x = 27,109,156,644,153,176,064/2,412,778,153
  6. Step 6: Final answer
    x = 11,235,660,688.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.