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Finding the Third Proportional to 411,060,816.50 and 970,029,953.50

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Solution

The third proportional to 411,060,816.50 and 970,029,953.50 is: 2,289,097,070.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,060,816.50 : 970,029,953.50 = 970,029,953.50 : x
  2. Step 2: Convert to fraction form
    411,060,816.50/970,029,953.50 = 970,029,953.50/x
  3. Step 3: Cross multiply
    411,060,816.50x = 970,029,953.50 × 970,029,953.50
  4. Step 4: Simplify right side
    411,060,816.50x = 940,958,110,687,212,160
  5. Step 5: Solve for x
    x = 940,958,110,687,212,160/411,060,816.50
  6. Step 6: Final answer
    x = 2,289,097,070.11

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.