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Finding the Third Proportional to 974,622,302 and 2,127,841,945

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Solution

The third proportional to 974,622,302 and 2,127,841,945 is: 4,645,606,132.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,622,302 : 2,127,841,945 = 2,127,841,945 : x
  2. Step 2: Convert to fraction form
    974,622,302/2,127,841,945 = 2,127,841,945/x
  3. Step 3: Cross multiply
    974,622,302x = 2,127,841,945 × 2,127,841,945
  4. Step 4: Simplify right side
    974,622,302x = 4,527,711,342,901,383,168
  5. Step 5: Solve for x
    x = 4,527,711,342,901,383,168/974,622,302
  6. Step 6: Final answer
    x = 4,645,606,132.36

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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.