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Finding the Third Proportional to 7,112,574 and 10,163,704

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Solution

The third proportional to 7,112,574 and 10,163,704 is: 14,523,698.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,112,574 : 10,163,704 = 10,163,704 : x
  2. Step 2: Convert to fraction form
    7,112,574/10,163,704 = 10,163,704/x
  3. Step 3: Cross multiply
    7,112,574x = 10,163,704 × 10,163,704
  4. Step 4: Simplify right side
    7,112,574x = 103,300,878,999,616
  5. Step 5: Solve for x
    x = 103,300,878,999,616/7,112,574
  6. Step 6: Final answer
    x = 14,523,698.31

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.