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Finding the Third Proportional to 7,769,275.59 and 12,187,700.63

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Solution

The third proportional to 7,769,275.59 and 12,187,700.63 is: 19,118,905.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769,275.59 : 12,187,700.63 = 12,187,700.63 : x
  2. Step 2: Convert to fraction form
    7,769,275.59/12,187,700.63 = 12,187,700.63/x
  3. Step 3: Cross multiply
    7,769,275.59x = 12,187,700.63 × 12,187,700.63
  4. Step 4: Simplify right side
    7,769,275.59x = 148,540,046,533,546.81
  5. Step 5: Solve for x
    x = 148,540,046,533,546.81/7,769,275.59
  6. Step 6: Final answer
    x = 19,118,905.60

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.