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Finding the Third Proportional to 6,715,463.63 and 14,388,937.88

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Solution

The third proportional to 6,715,463.63 and 14,388,937.88 is: 30,830,564.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,715,463.63 : 14,388,937.88 = 14,388,937.88 : x
  2. Step 2: Convert to fraction form
    6,715,463.63/14,388,937.88 = 14,388,937.88/x
  3. Step 3: Cross multiply
    6,715,463.63x = 14,388,937.88 × 14,388,937.88
  4. Step 4: Simplify right side
    6,715,463.63x = 207,041,533,170,609.50
  5. Step 5: Solve for x
    x = 207,041,533,170,609.50/6,715,463.63
  6. Step 6: Final answer
    x = 30,830,564.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.