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Finding the Third Proportional to 479,849,708,248 and 999,416,294,624

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Solution

The third proportional to 479,849,708,248 and 999,416,294,624 is: 2,081,553,688,147.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,849,708,248 : 999,416,294,624 = 999,416,294,624 : x
  2. Step 2: Convert to fraction form
    479,849,708,248/999,416,294,624 = 999,416,294,624/x
  3. Step 3: Cross multiply
    479,849,708,248x = 999,416,294,624 × 999,416,294,624
  4. Step 4: Simplify right side
    479,849,708,248x = 998,832,929,959,965,907,484,672
  5. Step 5: Solve for x
    x = 998,832,929,959,965,907,484,672/479,849,708,248
  6. Step 6: Final answer
    x = 2,081,553,688,147.17

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.