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Finding the Third Proportional to 7,437,501 and 10,533,467.81

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Solution

The third proportional to 7,437,501 and 10,533,467.81 is: 14,918,175.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,437,501 : 10,533,467.81 = 10,533,467.81 : x
  2. Step 2: Convert to fraction form
    7,437,501/10,533,467.81 = 10,533,467.81/x
  3. Step 3: Cross multiply
    7,437,501x = 10,533,467.81 × 10,533,467.81
  4. Step 4: Simplify right side
    7,437,501x = 110,953,944,156,973.53
  5. Step 5: Solve for x
    x = 110,953,944,156,973.53/7,437,501
  6. Step 6: Final answer
    x = 14,918,175.36

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.