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Finding the Third Proportional to 7,970,130 and 16,507,372.50

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Solution

The third proportional to 7,970,130 and 16,507,372.50 is: 34,189,322.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970,130 : 16,507,372.50 = 16,507,372.50 : x
  2. Step 2: Convert to fraction form
    7,970,130/16,507,372.50 = 16,507,372.50/x
  3. Step 3: Cross multiply
    7,970,130x = 16,507,372.50 × 16,507,372.50
  4. Step 4: Simplify right side
    7,970,130x = 272,493,346,853,756.25
  5. Step 5: Solve for x
    x = 272,493,346,853,756.25/7,970,130
  6. Step 6: Final answer
    x = 34,189,322.74

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.