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Finding the Third Proportional to 14,656,309 and 21,557,968

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Solution

The third proportional to 14,656,309 and 21,557,968 is: 31,709,619.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,656,309 : 21,557,968 = 21,557,968 : x
  2. Step 2: Convert to fraction form
    14,656,309/21,557,968 = 21,557,968/x
  3. Step 3: Cross multiply
    14,656,309x = 21,557,968 × 21,557,968
  4. Step 4: Simplify right side
    14,656,309x = 464,745,984,289,024
  5. Step 5: Solve for x
    x = 464,745,984,289,024/14,656,309
  6. Step 6: Final answer
    x = 31,709,619.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.