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Finding the Third Proportional to 585,417,132 and 1,272,867,048

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Solution

The third proportional to 585,417,132 and 1,272,867,048 is: 2,767,583,033.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,417,132 : 1,272,867,048 = 1,272,867,048 : x
  2. Step 2: Convert to fraction form
    585,417,132/1,272,867,048 = 1,272,867,048/x
  3. Step 3: Cross multiply
    585,417,132x = 1,272,867,048 × 1,272,867,048
  4. Step 4: Simplify right side
    585,417,132x = 1,620,190,521,884,234,240
  5. Step 5: Solve for x
    x = 1,620,190,521,884,234,240/585,417,132
  6. Step 6: Final answer
    x = 2,767,583,033.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.