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Finding the Third Proportional to 6,221,824 and 9,598,056

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Solution

The third proportional to 6,221,824 and 9,598,056 is: 14,806,378.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,221,824 : 9,598,056 = 9,598,056 : x
  2. Step 2: Convert to fraction form
    6,221,824/9,598,056 = 9,598,056/x
  3. Step 3: Cross multiply
    6,221,824x = 9,598,056 × 9,598,056
  4. Step 4: Simplify right side
    6,221,824x = 92,122,678,979,136
  5. Step 5: Solve for x
    x = 92,122,678,979,136/6,221,824
  6. Step 6: Final answer
    x = 14,806,378.16

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.