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Finding the Third Proportional to 828,788,682,798.50 and 1,803,516,785,324

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Solution

The third proportional to 828,788,682,798.50 and 1,803,516,785,324 is: 3,924,610,533,969.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,788,682,798.50 : 1,803,516,785,324 = 1,803,516,785,324 : x
  2. Step 2: Convert to fraction form
    828,788,682,798.50/1,803,516,785,324 = 1,803,516,785,324/x
  3. Step 3: Cross multiply
    828,788,682,798.50x = 1,803,516,785,324 × 1,803,516,785,324
  4. Step 4: Simplify right side
    828,788,682,798.50x = 3,252,672,794,945,415,202,996,224
  5. Step 5: Solve for x
    x = 3,252,672,794,945,415,202,996,224/828,788,682,798.50
  6. Step 6: Final answer
    x = 3,924,610,533,969.16

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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.