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Finding the Third Proportional to 147,577,901 and 322,956,946

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Solution

The third proportional to 147,577,901 and 322,956,946 is: 706,753,438.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,577,901 : 322,956,946 = 322,956,946 : x
  2. Step 2: Convert to fraction form
    147,577,901/322,956,946 = 322,956,946/x
  3. Step 3: Cross multiply
    147,577,901x = 322,956,946 × 322,956,946
  4. Step 4: Simplify right side
    147,577,901x = 104,301,188,969,646,912
  5. Step 5: Solve for x
    x = 104,301,188,969,646,912/147,577,901
  6. Step 6: Final answer
    x = 706,753,438.44

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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.