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Finding the Third Proportional to 2,371,581,358 and 5,151,421,916

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Solution

The third proportional to 2,371,581,358 and 5,151,421,916 is: 11,189,642,584.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,371,581,358 : 5,151,421,916 = 5,151,421,916 : x
  2. Step 2: Convert to fraction form
    2,371,581,358/5,151,421,916 = 5,151,421,916/x
  3. Step 3: Cross multiply
    2,371,581,358x = 5,151,421,916 × 5,151,421,916
  4. Step 4: Simplify right side
    2,371,581,358x = 26,537,147,756,645,109,760
  5. Step 5: Solve for x
    x = 26,537,147,756,645,109,760/2,371,581,358
  6. Step 6: Final answer
    x = 11,189,642,584.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.