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Finding the Third Proportional to 349,495,980 and 542,659,116

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Solution

The third proportional to 349,495,980 and 542,659,116 is: 842,581,697.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,495,980 : 542,659,116 = 542,659,116 : x
  2. Step 2: Convert to fraction form
    349,495,980/542,659,116 = 542,659,116/x
  3. Step 3: Cross multiply
    349,495,980x = 542,659,116 × 542,659,116
  4. Step 4: Simplify right side
    349,495,980x = 294,478,916,177,901,440
  5. Step 5: Solve for x
    x = 294,478,916,177,901,440/349,495,980
  6. Step 6: Final answer
    x = 842,581,697.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.