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Finding the Third Proportional to 13,669,716 and 29,106,312

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Solution

The third proportional to 13,669,716 and 29,106,312 is: 61,974,762.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,669,716 : 29,106,312 = 29,106,312 : x
  2. Step 2: Convert to fraction form
    13,669,716/29,106,312 = 29,106,312/x
  3. Step 3: Cross multiply
    13,669,716x = 29,106,312 × 29,106,312
  4. Step 4: Simplify right side
    13,669,716x = 847,177,398,241,344
  5. Step 5: Solve for x
    x = 847,177,398,241,344/13,669,716
  6. Step 6: Final answer
    x = 61,974,762.19

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.