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Finding the Third Proportional to 9,807,284 and 15,224,142

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Solution

The third proportional to 9,807,284 and 15,224,142 is: 23,632,893.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807,284 : 15,224,142 = 15,224,142 : x
  2. Step 2: Convert to fraction form
    9,807,284/15,224,142 = 15,224,142/x
  3. Step 3: Cross multiply
    9,807,284x = 15,224,142 × 15,224,142
  4. Step 4: Simplify right side
    9,807,284x = 231,774,499,636,164
  5. Step 5: Solve for x
    x = 231,774,499,636,164/9,807,284
  6. Step 6: Final answer
    x = 23,632,893.64

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.