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Finding the Third Proportional to 7,226,413 and 10,640,010

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Solution

The third proportional to 7,226,413 and 10,640,010 is: 15,666,114.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,226,413 : 10,640,010 = 10,640,010 : x
  2. Step 2: Convert to fraction form
    7,226,413/10,640,010 = 10,640,010/x
  3. Step 3: Cross multiply
    7,226,413x = 10,640,010 × 10,640,010
  4. Step 4: Simplify right side
    7,226,413x = 113,209,812,800,100
  5. Step 5: Solve for x
    x = 113,209,812,800,100/7,226,413
  6. Step 6: Final answer
    x = 15,666,114.41

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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.