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Finding the Third Proportional to 405,599,200 and 875,854,976

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Solution

The third proportional to 405,599,200 and 875,854,976 is: 1,891,330,009.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,599,200 : 875,854,976 = 875,854,976 : x
  2. Step 2: Convert to fraction form
    405,599,200/875,854,976 = 875,854,976/x
  3. Step 3: Cross multiply
    405,599,200x = 875,854,976 × 875,854,976
  4. Step 4: Simplify right side
    405,599,200x = 767,121,938,983,960,576
  5. Step 5: Solve for x
    x = 767,121,938,983,960,576/405,599,200
  6. Step 6: Final answer
    x = 1,891,330,009.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.