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Finding the Third Proportional to 347,837,252 and 758,174,044

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Solution

The third proportional to 347,837,252 and 758,174,044 is: 1,652,577,110.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,837,252 : 758,174,044 = 758,174,044 : x
  2. Step 2: Convert to fraction form
    347,837,252/758,174,044 = 758,174,044/x
  3. Step 3: Cross multiply
    347,837,252x = 758,174,044 × 758,174,044
  4. Step 4: Simplify right side
    347,837,252x = 574,827,880,995,313,920
  5. Step 5: Solve for x
    x = 574,827,880,995,313,920/347,837,252
  6. Step 6: Final answer
    x = 1,652,577,110.96

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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.