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Finding the Third Proportional to 347,837,256 and 758,174,052

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Solution

The third proportional to 347,837,256 and 758,174,052 is: 1,652,577,126.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,837,256 : 758,174,052 = 758,174,052 : x
  2. Step 2: Convert to fraction form
    347,837,256/758,174,052 = 758,174,052/x
  3. Step 3: Cross multiply
    347,837,256x = 758,174,052 × 758,174,052
  4. Step 4: Simplify right side
    347,837,256x = 574,827,893,126,098,688
  5. Step 5: Solve for x
    x = 574,827,893,126,098,688/347,837,256
  6. Step 6: Final answer
    x = 1,652,577,126.83

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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.