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Finding the Third Proportional to 31,513,224 and 68,547,896

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Solution

The third proportional to 31,513,224 and 68,547,896 is: 149,106,103.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,513,224 : 68,547,896 = 68,547,896 : x
  2. Step 2: Convert to fraction form
    31,513,224/68,547,896 = 68,547,896/x
  3. Step 3: Cross multiply
    31,513,224x = 68,547,896 × 68,547,896
  4. Step 4: Simplify right side
    31,513,224x = 4,698,814,046,026,816
  5. Step 5: Solve for x
    x = 4,698,814,046,026,816/31,513,224
  6. Step 6: Final answer
    x = 149,106,103.71

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.