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Finding the Third Proportional to 7,774,410.18 and 16,916,173.76

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Solution

The third proportional to 7,774,410.18 and 16,916,173.76 is: 36,807,542.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774,410.18 : 16,916,173.76 = 16,916,173.76 : x
  2. Step 2: Convert to fraction form
    7,774,410.18/16,916,173.76 = 16,916,173.76/x
  3. Step 3: Cross multiply
    7,774,410.18x = 16,916,173.76 × 16,916,173.76
  4. Step 4: Simplify right side
    7,774,410.18x = 286,156,934,703,616.19
  5. Step 5: Solve for x
    x = 286,156,934,703,616.19/7,774,410.18
  6. Step 6: Final answer
    x = 36,807,542.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.