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Finding the Third Proportional to 384,775,276 and 824,033,107

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Solution

The third proportional to 384,775,276 and 824,033,107 is: 1,764,745,823.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,775,276 : 824,033,107 = 824,033,107 : x
  2. Step 2: Convert to fraction form
    384,775,276/824,033,107 = 824,033,107/x
  3. Step 3: Cross multiply
    384,775,276x = 824,033,107 × 824,033,107
  4. Step 4: Simplify right side
    384,775,276x = 679,030,561,432,073,472
  5. Step 5: Solve for x
    x = 679,030,561,432,073,472/384,775,276
  6. Step 6: Final answer
    x = 1,764,745,823.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.