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Finding the Third Proportional to 479,849,707,515 and 999,416,293,200

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Solution

The third proportional to 479,849,707,515 and 999,416,293,200 is: 2,081,553,685,395.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,849,707,515 : 999,416,293,200 = 999,416,293,200 : x
  2. Step 2: Convert to fraction form
    479,849,707,515/999,416,293,200 = 999,416,293,200/x
  3. Step 3: Cross multiply
    479,849,707,515x = 999,416,293,200 × 999,416,293,200
  4. Step 4: Simplify right side
    479,849,707,515x = 998,832,927,113,628,400,746,496
  5. Step 5: Solve for x
    x = 998,832,927,113,628,400,746,496/479,849,707,515
  6. Step 6: Final answer
    x = 2,081,553,685,395.14

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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.