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Finding the Third Proportional to 461,251,910 and 742,767,495

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Solution

The third proportional to 461,251,910 and 742,767,495 is: 1,196,100,308.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,251,910 : 742,767,495 = 742,767,495 : x
  2. Step 2: Convert to fraction form
    461,251,910/742,767,495 = 742,767,495/x
  3. Step 3: Cross multiply
    461,251,910x = 742,767,495 × 742,767,495
  4. Step 4: Simplify right side
    461,251,910x = 551,703,551,628,575,040
  5. Step 5: Solve for x
    x = 551,703,551,628,575,040/461,251,910
  6. Step 6: Final answer
    x = 1,196,100,308.03

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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.