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Finding the Third Proportional to 10,292,567 and 15,139,474.50

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Solution

The third proportional to 10,292,567 and 15,139,474.50 is: 22,268,855.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,292,567 : 15,139,474.50 = 15,139,474.50 : x
  2. Step 2: Convert to fraction form
    10,292,567/15,139,474.50 = 15,139,474.50/x
  3. Step 3: Cross multiply
    10,292,567x = 15,139,474.50 × 15,139,474.50
  4. Step 4: Simplify right side
    10,292,567x = 229,203,688,136,150.25
  5. Step 5: Solve for x
    x = 229,203,688,136,150.25/10,292,567
  6. Step 6: Final answer
    x = 22,268,855.59

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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.