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Finding the Third Proportional to 2,208,403,110 and 4,727,029,740

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Solution

The third proportional to 2,208,403,110 and 4,727,029,740 is: 10,118,084,901.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208,403,110 : 4,727,029,740 = 4,727,029,740 : x
  2. Step 2: Convert to fraction form
    2,208,403,110/4,727,029,740 = 4,727,029,740/x
  3. Step 3: Cross multiply
    2,208,403,110x = 4,727,029,740 × 4,727,029,740
  4. Step 4: Simplify right side
    2,208,403,110x = 22,344,810,162,844,467,200
  5. Step 5: Solve for x
    x = 22,344,810,162,844,467,200/2,208,403,110
  6. Step 6: Final answer
    x = 10,118,084,901.11

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.