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Finding the Third Proportional to 7,439,564 and 15,772,024

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Solution

The third proportional to 7,439,564 and 15,772,024 is: 33,437,005.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,439,564 : 15,772,024 = 15,772,024 : x
  2. Step 2: Convert to fraction form
    7,439,564/15,772,024 = 15,772,024/x
  3. Step 3: Cross multiply
    7,439,564x = 15,772,024 × 15,772,024
  4. Step 4: Simplify right side
    7,439,564x = 248,756,741,056,576
  5. Step 5: Solve for x
    x = 248,756,741,056,576/7,439,564
  6. Step 6: Final answer
    x = 33,437,005.32

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.