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Finding the Third Proportional to 828,788,682,805 and 1,803,516,785,335

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Solution

The third proportional to 828,788,682,805 and 1,803,516,785,335 is: 3,924,610,533,986.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,788,682,805 : 1,803,516,785,335 = 1,803,516,785,335 : x
  2. Step 2: Convert to fraction form
    828,788,682,805/1,803,516,785,335 = 1,803,516,785,335/x
  3. Step 3: Cross multiply
    828,788,682,805x = 1,803,516,785,335 × 1,803,516,785,335
  4. Step 4: Simplify right side
    828,788,682,805x = 3,252,672,794,985,092,647,747,584
  5. Step 5: Solve for x
    x = 3,252,672,794,985,092,647,747,584/828,788,682,805
  6. Step 6: Final answer
    x = 3,924,610,533,986.25

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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.