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Finding the Third Proportional to 367,960,807.90 and 807,416,263.27

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Solution

The third proportional to 367,960,807.90 and 807,416,263.27 is: 1,771,713,204.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,960,807.90 : 807,416,263.27 = 807,416,263.27 : x
  2. Step 2: Convert to fraction form
    367,960,807.90/807,416,263.27 = 807,416,263.27/x
  3. Step 3: Cross multiply
    367,960,807.90x = 807,416,263.27 × 807,416,263.27
  4. Step 4: Simplify right side
    367,960,807.90x = 651,921,022,185,784,576
  5. Step 5: Solve for x
    x = 651,921,022,185,784,576/367,960,807.90
  6. Step 6: Final answer
    x = 1,771,713,204.75

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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.