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Finding the Third Proportional to 384,376,032 and 829,218,240

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Solution

The third proportional to 384,376,032 and 829,218,240 is: 1,788,880,763.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,376,032 : 829,218,240 = 829,218,240 : x
  2. Step 2: Convert to fraction form
    384,376,032/829,218,240 = 829,218,240/x
  3. Step 3: Cross multiply
    384,376,032x = 829,218,240 × 829,218,240
  4. Step 4: Simplify right side
    384,376,032x = 687,602,889,548,697,600
  5. Step 5: Solve for x
    x = 687,602,889,548,697,600/384,376,032
  6. Step 6: Final answer
    x = 1,788,880,763.38

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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.