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Finding the Third Proportional to 461,252,002.50 and 742,767,634.13

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Solution

The third proportional to 461,252,002.50 and 742,767,634.13 is: 1,196,100,516.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,252,002.50 : 742,767,634.13 = 742,767,634.13 : x
  2. Step 2: Convert to fraction form
    461,252,002.50/742,767,634.13 = 742,767,634.13/x
  3. Step 3: Cross multiply
    461,252,002.50x = 742,767,634.13 × 742,767,634.13
  4. Step 4: Simplify right side
    461,252,002.50x = 551,703,758,303,649,856
  5. Step 5: Solve for x
    x = 551,703,758,303,649,856/461,252,002.50
  6. Step 6: Final answer
    x = 1,196,100,516.23

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.