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Finding the Third Proportional to 384,376,056 and 829,218,288

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Solution

The third proportional to 384,376,056 and 829,218,288 is: 1,788,880,858.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,376,056 : 829,218,288 = 829,218,288 : x
  2. Step 2: Convert to fraction form
    384,376,056/829,218,288 = 829,218,288/x
  3. Step 3: Cross multiply
    384,376,056x = 829,218,288 × 829,218,288
  4. Step 4: Simplify right side
    384,376,056x = 687,602,969,153,650,944
  5. Step 5: Solve for x
    x = 687,602,969,153,650,944/384,376,056
  6. Step 6: Final answer
    x = 1,788,880,858.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.