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Finding the Third Proportional to 14,921,312 and 32,194,864

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Solution

The third proportional to 14,921,312 and 32,194,864 is: 69,465,022.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,921,312 : 32,194,864 = 32,194,864 : x
  2. Step 2: Convert to fraction form
    14,921,312/32,194,864 = 32,194,864/x
  3. Step 3: Cross multiply
    14,921,312x = 32,194,864 × 32,194,864
  4. Step 4: Simplify right side
    14,921,312x = 1,036,509,267,978,496
  5. Step 5: Solve for x
    x = 1,036,509,267,978,496/14,921,312
  6. Step 6: Final answer
    x = 69,465,022.11

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.