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Finding the Third Proportional to 306,701,543.25 and 660,169,894.50

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Solution

The third proportional to 306,701,543.25 and 660,169,894.50 is: 1,421,004,553.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,701,543.25 : 660,169,894.50 = 660,169,894.50 : x
  2. Step 2: Convert to fraction form
    306,701,543.25/660,169,894.50 = 660,169,894.50/x
  3. Step 3: Cross multiply
    306,701,543.25x = 660,169,894.50 × 660,169,894.50
  4. Step 4: Simplify right side
    306,701,543.25x = 435,824,289,604,141,120
  5. Step 5: Solve for x
    x = 435,824,289,604,141,120/306,701,543.25
  6. Step 6: Final answer
    x = 1,421,004,553.76

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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.