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Finding the Third Proportional to 1,901,924,344 and 4,141,496,376

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Solution

The third proportional to 1,901,924,344 and 4,141,496,376 is: 9,018,230,555.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,901,924,344 : 4,141,496,376 = 4,141,496,376 : x
  2. Step 2: Convert to fraction form
    1,901,924,344/4,141,496,376 = 4,141,496,376/x
  3. Step 3: Cross multiply
    1,901,924,344x = 4,141,496,376 × 4,141,496,376
  4. Step 4: Simplify right side
    1,901,924,344x = 17,151,992,232,421,134,336
  5. Step 5: Solve for x
    x = 17,151,992,232,421,134,336/1,901,924,344
  6. Step 6: Final answer
    x = 9,018,230,555.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.