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Finding the Third Proportional to 6,842,509.03 and 9,566,246.81

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Solution

The third proportional to 6,842,509.03 and 9,566,246.81 is: 13,374,199.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842,509.03 : 9,566,246.81 = 9,566,246.81 : x
  2. Step 2: Convert to fraction form
    6,842,509.03/9,566,246.81 = 9,566,246.81/x
  3. Step 3: Cross multiply
    6,842,509.03x = 9,566,246.81 × 9,566,246.81
  4. Step 4: Simplify right side
    6,842,509.03x = 91,513,078,077,666.41
  5. Step 5: Solve for x
    x = 91,513,078,077,666.41/6,842,509.03
  6. Step 6: Final answer
    x = 13,374,199.09

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.