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Finding the Third Proportional to 162,534,348 and 347,111,712

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Solution

The third proportional to 162,534,348 and 347,111,712 is: 741,298,944.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,534,348 : 347,111,712 = 347,111,712 : x
  2. Step 2: Convert to fraction form
    162,534,348/347,111,712 = 347,111,712/x
  3. Step 3: Cross multiply
    162,534,348x = 347,111,712 × 347,111,712
  4. Step 4: Simplify right side
    162,534,348x = 120,486,540,607,570,944
  5. Step 5: Solve for x
    x = 120,486,540,607,570,944/162,534,348
  6. Step 6: Final answer
    x = 741,298,944.44

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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.