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Finding the Third Proportional to 4,535,210 and 9,867,582

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Solution

The third proportional to 4,535,210 and 9,867,582 is: 21,469,606.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,535,210 : 9,867,582 = 9,867,582 : x
  2. Step 2: Convert to fraction form
    4,535,210/9,867,582 = 9,867,582/x
  3. Step 3: Cross multiply
    4,535,210x = 9,867,582 × 9,867,582
  4. Step 4: Simplify right side
    4,535,210x = 97,369,174,526,724
  5. Step 5: Solve for x
    x = 97,369,174,526,724/4,535,210
  6. Step 6: Final answer
    x = 21,469,606.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.