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Finding the Third Proportional to 384,376,058 and 829,218,292

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Solution

The third proportional to 384,376,058 and 829,218,292 is: 1,788,880,866.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,376,058 : 829,218,292 = 829,218,292 : x
  2. Step 2: Convert to fraction form
    384,376,058/829,218,292 = 829,218,292/x
  3. Step 3: Cross multiply
    384,376,058x = 829,218,292 × 829,218,292
  4. Step 4: Simplify right side
    384,376,058x = 687,602,975,787,397,248
  5. Step 5: Solve for x
    x = 687,602,975,787,397,248/384,376,058
  6. Step 6: Final answer
    x = 1,788,880,866.74

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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.