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Finding the Third Proportional to 349,495,971 and 542,659,104

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Solution

The third proportional to 349,495,971 and 542,659,104 is: 842,581,682.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,495,971 : 542,659,104 = 542,659,104 : x
  2. Step 2: Convert to fraction form
    349,495,971/542,659,104 = 542,659,104/x
  3. Step 3: Cross multiply
    349,495,971x = 542,659,104 × 542,659,104
  4. Step 4: Simplify right side
    349,495,971x = 294,478,903,154,082,816
  5. Step 5: Solve for x
    x = 294,478,903,154,082,816/349,495,971
  6. Step 6: Final answer
    x = 842,581,682.16

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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.