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Finding the Third Proportional to 566,828,083,802 and 1,249,193,782,226

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Solution

The third proportional to 566,828,083,802 and 1,249,193,782,226 is: 2,753,013,038,953.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,828,083,802 : 1,249,193,782,226 = 1,249,193,782,226 : x
  2. Step 2: Convert to fraction form
    566,828,083,802/1,249,193,782,226 = 1,249,193,782,226/x
  3. Step 3: Cross multiply
    566,828,083,802x = 1,249,193,782,226 × 1,249,193,782,226
  4. Step 4: Simplify right side
    566,828,083,802x = 1,560,485,105,552,099,173,728,256
  5. Step 5: Solve for x
    x = 1,560,485,105,552,099,173,728,256/566,828,083,802
  6. Step 6: Final answer
    x = 2,753,013,038,953.79

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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.