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Finding the Third Proportional to 838,824,336 and 1,838,891,808

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Solution

The third proportional to 838,824,336 and 1,838,891,808 is: 4,031,264,874.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,824,336 : 1,838,891,808 = 1,838,891,808 : x
  2. Step 2: Convert to fraction form
    838,824,336/1,838,891,808 = 1,838,891,808/x
  3. Step 3: Cross multiply
    838,824,336x = 1,838,891,808 × 1,838,891,808
  4. Step 4: Simplify right side
    838,824,336x = 3,381,523,081,529,508,864
  5. Step 5: Solve for x
    x = 3,381,523,081,529,508,864/838,824,336
  6. Step 6: Final answer
    x = 4,031,264,874.42

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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.