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Finding the Third Proportional to 566,828,083,804 and 1,249,193,782,230

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Solution

The third proportional to 566,828,083,804 and 1,249,193,782,230 is: 2,753,013,038,961.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,828,083,804 : 1,249,193,782,230 = 1,249,193,782,230 : x
  2. Step 2: Convert to fraction form
    566,828,083,804/1,249,193,782,230 = 1,249,193,782,230/x
  3. Step 3: Cross multiply
    566,828,083,804x = 1,249,193,782,230 × 1,249,193,782,230
  4. Step 4: Simplify right side
    566,828,083,804x = 1,560,485,105,562,092,757,319,680
  5. Step 5: Solve for x
    x = 1,560,485,105,562,092,757,319,680/566,828,083,804
  6. Step 6: Final answer
    x = 2,753,013,038,961.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.