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Finding the Third Proportional to 6,078,318 and 9,624,862

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Solution

The third proportional to 6,078,318 and 9,624,862 is: 15,240,724.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,078,318 : 9,624,862 = 9,624,862 : x
  2. Step 2: Convert to fraction form
    6,078,318/9,624,862 = 9,624,862/x
  3. Step 3: Cross multiply
    6,078,318x = 9,624,862 × 9,624,862
  4. Step 4: Simplify right side
    6,078,318x = 92,637,968,519,044
  5. Step 5: Solve for x
    x = 92,637,968,519,044/6,078,318
  6. Step 6: Final answer
    x = 15,240,724.25

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.