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Finding the Third Proportional to 30,700,680.75 and 67,169,574

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Solution

The third proportional to 30,700,680.75 and 67,169,574 is: 146,959,336.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,700,680.75 : 67,169,574 = 67,169,574 : x
  2. Step 2: Convert to fraction form
    30,700,680.75/67,169,574 = 67,169,574/x
  3. Step 3: Cross multiply
    30,700,680.75x = 67,169,574 × 67,169,574
  4. Step 4: Simplify right side
    30,700,680.75x = 4,511,751,671,341,476
  5. Step 5: Solve for x
    x = 4,511,751,671,341,476/30,700,680.75
  6. Step 6: Final answer
    x = 146,959,336.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.