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Finding the Third Proportional to 7,477,008 and 16,337,784

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Solution

The third proportional to 7,477,008 and 16,337,784 is: 35,699,197.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,477,008 : 16,337,784 = 16,337,784 : x
  2. Step 2: Convert to fraction form
    7,477,008/16,337,784 = 16,337,784/x
  3. Step 3: Cross multiply
    7,477,008x = 16,337,784 × 16,337,784
  4. Step 4: Simplify right side
    7,477,008x = 266,923,186,030,656
  5. Step 5: Solve for x
    x = 266,923,186,030,656/7,477,008
  6. Step 6: Final answer
    x = 35,699,197.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.