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Finding the Third Proportional to 6,130,686.75 and 14,451,744.75

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Solution

The third proportional to 6,130,686.75 and 14,451,744.75 is: 34,066,807.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,130,686.75 : 14,451,744.75 = 14,451,744.75 : x
  2. Step 2: Convert to fraction form
    6,130,686.75/14,451,744.75 = 14,451,744.75/x
  3. Step 3: Cross multiply
    6,130,686.75x = 14,451,744.75 × 14,451,744.75
  4. Step 4: Simplify right side
    6,130,686.75x = 208,852,926,319,152.56
  5. Step 5: Solve for x
    x = 208,852,926,319,152.56/6,130,686.75
  6. Step 6: Final answer
    x = 34,066,807.66

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.