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Finding the Third Proportional to 4,581,136 and 9,768,944

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Solution

The third proportional to 4,581,136 and 9,768,944 is: 20,831,572.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,581,136 : 9,768,944 = 9,768,944 : x
  2. Step 2: Convert to fraction form
    4,581,136/9,768,944 = 9,768,944/x
  3. Step 3: Cross multiply
    4,581,136x = 9,768,944 × 9,768,944
  4. Step 4: Simplify right side
    4,581,136x = 95,432,266,875,136
  5. Step 5: Solve for x
    x = 95,432,266,875,136/4,581,136
  6. Step 6: Final answer
    x = 20,831,572.53

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.