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Finding the Third Proportional to 349,376,508 and 747,832,104

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Solution

The third proportional to 349,376,508 and 747,832,104 is: 1,600,716,828.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,376,508 : 747,832,104 = 747,832,104 : x
  2. Step 2: Convert to fraction form
    349,376,508/747,832,104 = 747,832,104/x
  3. Step 3: Cross multiply
    349,376,508x = 747,832,104 × 747,832,104
  4. Step 4: Simplify right side
    349,376,508x = 559,252,855,773,066,816
  5. Step 5: Solve for x
    x = 559,252,855,773,066,816/349,376,508
  6. Step 6: Final answer
    x = 1,600,716,828.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.