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Finding the Third Proportional to 14,993,490.66 and 23,035,841.16

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Solution

The third proportional to 14,993,490.66 and 23,035,841.16 is: 35,392,023.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,993,490.66 : 23,035,841.16 = 23,035,841.16 : x
  2. Step 2: Convert to fraction form
    14,993,490.66/23,035,841.16 = 23,035,841.16/x
  3. Step 3: Cross multiply
    14,993,490.66x = 23,035,841.16 × 23,035,841.16
  4. Step 4: Simplify right side
    14,993,490.66x = 530,649,977,775,981.31
  5. Step 5: Solve for x
    x = 530,649,977,775,981.31/14,993,490.66
  6. Step 6: Final answer
    x = 35,392,023.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.