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Finding the Third Proportional to 306,701,576.50 and 660,169,967

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Solution

The third proportional to 306,701,576.50 and 660,169,967 is: 1,421,004,711.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,701,576.50 : 660,169,967 = 660,169,967 : x
  2. Step 2: Convert to fraction form
    306,701,576.50/660,169,967 = 660,169,967/x
  3. Step 3: Cross multiply
    306,701,576.50x = 660,169,967 × 660,169,967
  4. Step 4: Simplify right side
    306,701,576.50x = 435,824,385,328,781,120
  5. Step 5: Solve for x
    x = 435,824,385,328,781,120/306,701,576.50
  6. Step 6: Final answer
    x = 1,421,004,711.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.