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Finding the Third Proportional to 371,283,856.31 and 786,826,031.63

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Solution

The third proportional to 371,283,856.31 and 786,826,031.63 is: 1,667,444,445.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,283,856.31 : 786,826,031.63 = 786,826,031.63 : x
  2. Step 2: Convert to fraction form
    371,283,856.31/786,826,031.63 = 786,826,031.63/x
  3. Step 3: Cross multiply
    371,283,856.31x = 786,826,031.63 × 786,826,031.63
  4. Step 4: Simplify right side
    371,283,856.31x = 619,095,204,042,745,472
  5. Step 5: Solve for x
    x = 619,095,204,042,745,472/371,283,856.31
  6. Step 6: Final answer
    x = 1,667,444,445.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.