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Finding the Third Proportional to 70,409,734 and 112,035,705

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Solution

The third proportional to 70,409,734 and 112,035,705 is: 178,270,794.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,409,734 : 112,035,705 = 112,035,705 : x
  2. Step 2: Convert to fraction form
    70,409,734/112,035,705 = 112,035,705/x
  3. Step 3: Cross multiply
    70,409,734x = 112,035,705 × 112,035,705
  4. Step 4: Simplify right side
    70,409,734x = 12,551,999,194,847,024
  5. Step 5: Solve for x
    x = 12,551,999,194,847,024/70,409,734
  6. Step 6: Final answer
    x = 178,270,794.13

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.