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Finding the Third Proportional to 13,297,314.38 and 29,116,877.63

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Solution

The third proportional to 13,297,314.38 and 29,116,877.63 is: 63,756,675.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,297,314.38 : 29,116,877.63 = 29,116,877.63 : x
  2. Step 2: Convert to fraction form
    13,297,314.38/29,116,877.63 = 29,116,877.63/x
  3. Step 3: Cross multiply
    13,297,314.38x = 29,116,877.63 × 29,116,877.63
  4. Step 4: Simplify right side
    13,297,314.38x = 847,792,562,629,225.62
  5. Step 5: Solve for x
    x = 847,792,562,629,225.62/13,297,314.38
  6. Step 6: Final answer
    x = 63,756,675.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.