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Finding the Third Proportional to 9,812,369 and 21,574,047

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Solution

The third proportional to 9,812,369 and 21,574,047 is: 47,433,958.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,812,369 : 21,574,047 = 21,574,047 : x
  2. Step 2: Convert to fraction form
    9,812,369/21,574,047 = 21,574,047/x
  3. Step 3: Cross multiply
    9,812,369x = 21,574,047 × 21,574,047
  4. Step 4: Simplify right side
    9,812,369x = 465,439,503,958,209
  5. Step 5: Solve for x
    x = 465,439,503,958,209/9,812,369
  6. Step 6: Final answer
    x = 47,433,958.50

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.