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Finding the Third Proportional to 338,043,618 and 740,892,420

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Solution

The third proportional to 338,043,618 and 740,892,420 is: 1,623,818,787.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,043,618 : 740,892,420 = 740,892,420 : x
  2. Step 2: Convert to fraction form
    338,043,618/740,892,420 = 740,892,420/x
  3. Step 3: Cross multiply
    338,043,618x = 740,892,420 × 740,892,420
  4. Step 4: Simplify right side
    338,043,618x = 548,921,578,013,456,384
  5. Step 5: Solve for x
    x = 548,921,578,013,456,384/338,043,618
  6. Step 6: Final answer
    x = 1,623,818,787.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.