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Finding the Third Proportional to 5,218,482.90 and 7,962,698.51

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Solution

The third proportional to 5,218,482.90 and 7,962,698.51 is: 12,150,000.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,218,482.90 : 7,962,698.51 = 7,962,698.51 : x
  2. Step 2: Convert to fraction form
    5,218,482.90/7,962,698.51 = 7,962,698.51/x
  3. Step 3: Cross multiply
    5,218,482.90x = 7,962,698.51 × 7,962,698.51
  4. Step 4: Simplify right side
    5,218,482.90x = 63,404,567,619,637.46
  5. Step 5: Solve for x
    x = 63,404,567,619,637.46/5,218,482.90
  6. Step 6: Final answer
    x = 12,150,000.07

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.