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Finding the Third Proportional to 14,697,009 and 31,917,816

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Solution

The third proportional to 14,697,009 and 31,917,816 is: 69,316,619.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,697,009 : 31,917,816 = 31,917,816 : x
  2. Step 2: Convert to fraction form
    14,697,009/31,917,816 = 31,917,816/x
  3. Step 3: Cross multiply
    14,697,009x = 31,917,816 × 31,917,816
  4. Step 4: Simplify right side
    14,697,009x = 1,018,746,978,209,856
  5. Step 5: Solve for x
    x = 1,018,746,978,209,856/14,697,009
  6. Step 6: Final answer
    x = 69,316,619.33

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.