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Finding the Third Proportional to 7,773,526.13 and 16,821,950.06

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Solution

The third proportional to 7,773,526.13 and 16,821,950.06 is: 36,402,785.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773,526.13 : 16,821,950.06 = 16,821,950.06 : x
  2. Step 2: Convert to fraction form
    7,773,526.13/16,821,950.06 = 16,821,950.06/x
  3. Step 3: Cross multiply
    7,773,526.13x = 16,821,950.06 × 16,821,950.06
  4. Step 4: Simplify right side
    7,773,526.13x = 282,978,003,905,243.75
  5. Step 5: Solve for x
    x = 282,978,003,905,243.75/7,773,526.13
  6. Step 6: Final answer
    x = 36,402,785.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.