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Finding the Third Proportional to 30,226,253.63 and 45,291,847.36

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Solution

The third proportional to 30,226,253.63 and 45,291,847.36 is: 67,866,546.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,226,253.63 : 45,291,847.36 = 45,291,847.36 : x
  2. Step 2: Convert to fraction form
    30,226,253.63/45,291,847.36 = 45,291,847.36/x
  3. Step 3: Cross multiply
    30,226,253.63x = 45,291,847.36 × 45,291,847.36
  4. Step 4: Simplify right side
    30,226,253.63x = 2,051,351,437,225,014.50
  5. Step 5: Solve for x
    x = 2,051,351,437,225,014.50/30,226,253.63
  6. Step 6: Final answer
    x = 67,866,546.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.