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Finding the Third Proportional to 3,748,826,219 and 7,807,940,502

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Solution

The third proportional to 3,748,826,219 and 7,807,940,502 is: 16,262,139,486.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,748,826,219 : 7,807,940,502 = 7,807,940,502 : x
  2. Step 2: Convert to fraction form
    3,748,826,219/7,807,940,502 = 7,807,940,502/x
  3. Step 3: Cross multiply
    3,748,826,219x = 7,807,940,502 × 7,807,940,502
  4. Step 4: Simplify right side
    3,748,826,219x = 60,963,934,882,772,008,960
  5. Step 5: Solve for x
    x = 60,963,934,882,772,008,960/3,748,826,219
  6. Step 6: Final answer
    x = 16,262,139,486.17

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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.