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Finding the Third Proportional to 527,242,965,718 and 1,144,367,484,925

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Solution

The third proportional to 527,242,965,718 and 1,144,367,484,925 is: 2,483,820,602,082.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,242,965,718 : 1,144,367,484,925 = 1,144,367,484,925 : x
  2. Step 2: Convert to fraction form
    527,242,965,718/1,144,367,484,925 = 1,144,367,484,925/x
  3. Step 3: Cross multiply
    527,242,965,718x = 1,144,367,484,925 × 1,144,367,484,925
  4. Step 4: Simplify right side
    527,242,965,718x = 1,309,576,940,553,569,979,858,944
  5. Step 5: Solve for x
    x = 1,309,576,940,553,569,979,858,944/527,242,965,718
  6. Step 6: Final answer
    x = 2,483,820,602,082.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.