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Finding the Third Proportional to 65,621,036 and 143,593,924

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Solution

The third proportional to 65,621,036 and 143,593,924 is: 314,216,541.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,621,036 : 143,593,924 = 143,593,924 : x
  2. Step 2: Convert to fraction form
    65,621,036/143,593,924 = 143,593,924/x
  3. Step 3: Cross multiply
    65,621,036x = 143,593,924 × 143,593,924
  4. Step 4: Simplify right side
    65,621,036x = 20,619,215,009,717,776
  5. Step 5: Solve for x
    x = 20,619,215,009,717,776/65,621,036
  6. Step 6: Final answer
    x = 314,216,541.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.