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Finding the Third Proportional to 375,748,563.50 and 777,272,016

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Solution

The third proportional to 375,748,563.50 and 777,272,016 is: 1,607,861,867.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,748,563.50 : 777,272,016 = 777,272,016 : x
  2. Step 2: Convert to fraction form
    375,748,563.50/777,272,016 = 777,272,016/x
  3. Step 3: Cross multiply
    375,748,563.50x = 777,272,016 × 777,272,016
  4. Step 4: Simplify right side
    375,748,563.50x = 604,151,786,856,704,256
  5. Step 5: Solve for x
    x = 604,151,786,856,704,256/375,748,563.50
  6. Step 6: Final answer
    x = 1,607,861,867.07

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.