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Finding the Third Proportional to 974,622,322 and 2,127,841,984

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Solution

The third proportional to 974,622,322 and 2,127,841,984 is: 4,645,606,207.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,622,322 : 2,127,841,984 = 2,127,841,984 : x
  2. Step 2: Convert to fraction form
    974,622,322/2,127,841,984 = 2,127,841,984/x
  3. Step 3: Cross multiply
    974,622,322x = 2,127,841,984 × 2,127,841,984
  4. Step 4: Simplify right side
    974,622,322x = 4,527,711,508,873,056,256
  5. Step 5: Solve for x
    x = 4,527,711,508,873,056,256/974,622,322
  6. Step 6: Final answer
    x = 4,645,606,207.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.