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Finding the Third Proportional to 461,252,013 and 742,767,648

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Solution

The third proportional to 461,252,013 and 742,767,648 is: 1,196,100,533.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,252,013 : 742,767,648 = 742,767,648 : x
  2. Step 2: Convert to fraction form
    461,252,013/742,767,648 = 742,767,648/x
  3. Step 3: Cross multiply
    461,252,013x = 742,767,648 × 742,767,648
  4. Step 4: Simplify right side
    461,252,013x = 551,703,778,915,451,904
  5. Step 5: Solve for x
    x = 551,703,778,915,451,904/461,252,013
  6. Step 6: Final answer
    x = 1,196,100,533.69

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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.