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Finding the Third Proportional to 7,564,112 and 11,353,913

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Solution

The third proportional to 7,564,112 and 11,353,913 is: 17,042,494.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564,112 : 11,353,913 = 11,353,913 : x
  2. Step 2: Convert to fraction form
    7,564,112/11,353,913 = 11,353,913/x
  3. Step 3: Cross multiply
    7,564,112x = 11,353,913 × 11,353,913
  4. Step 4: Simplify right side
    7,564,112x = 128,911,340,411,569
  5. Step 5: Solve for x
    x = 128,911,340,411,569/7,564,112
  6. Step 6: Final answer
    x = 17,042,494.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.