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Finding the Third Proportional to 14,443,324 and 31,477,495

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Solution

The third proportional to 14,443,324 and 31,477,495 is: 68,601,430.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,443,324 : 31,477,495 = 31,477,495 : x
  2. Step 2: Convert to fraction form
    14,443,324/31,477,495 = 31,477,495/x
  3. Step 3: Cross multiply
    14,443,324x = 31,477,495 × 31,477,495
  4. Step 4: Simplify right side
    14,443,324x = 990,832,691,475,025
  5. Step 5: Solve for x
    x = 990,832,691,475,025/14,443,324
  6. Step 6: Final answer
    x = 68,601,430.77

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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.