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Finding the Third Proportional to 5,564,816 and 8,464,056

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Solution

The third proportional to 5,564,816 and 8,464,056 is: 12,873,784.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,564,816 : 8,464,056 = 8,464,056 : x
  2. Step 2: Convert to fraction form
    5,564,816/8,464,056 = 8,464,056/x
  3. Step 3: Cross multiply
    5,564,816x = 8,464,056 × 8,464,056
  4. Step 4: Simplify right side
    5,564,816x = 71,640,243,971,136
  5. Step 5: Solve for x
    x = 71,640,243,971,136/5,564,816
  6. Step 6: Final answer
    x = 12,873,784.86

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.