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Finding the Third Proportional to 7,723,527.19 and 11,345,814.28

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Solution

The third proportional to 7,723,527.19 and 11,345,814.28 is: 16,666,931.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,723,527.19 : 11,345,814.28 = 11,345,814.28 : x
  2. Step 2: Convert to fraction form
    7,723,527.19/11,345,814.28 = 11,345,814.28/x
  3. Step 3: Cross multiply
    7,723,527.19x = 11,345,814.28 × 11,345,814.28
  4. Step 4: Simplify right side
    7,723,527.19x = 128,727,501,704,616.45
  5. Step 5: Solve for x
    x = 128,727,501,704,616.45/7,723,527.19
  6. Step 6: Final answer
    x = 16,666,931.91

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.