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Finding the Third Proportional to 6,416,232.75 and 14,266,995.75

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Solution

The third proportional to 6,416,232.75 and 14,266,995.75 is: 31,723,781.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416,232.75 : 14,266,995.75 = 14,266,995.75 : x
  2. Step 2: Convert to fraction form
    6,416,232.75/14,266,995.75 = 14,266,995.75/x
  3. Step 3: Cross multiply
    6,416,232.75x = 14,266,995.75 × 14,266,995.75
  4. Step 4: Simplify right side
    6,416,232.75x = 203,547,167,730,518.06
  5. Step 5: Solve for x
    x = 203,547,167,730,518.06/6,416,232.75
  6. Step 6: Final answer
    x = 31,723,781.80

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.