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Finding the Third Proportional to 14,672,310 and 32,178,969

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Solution

The third proportional to 14,672,310 and 32,178,969 is: 70,574,166.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,672,310 : 32,178,969 = 32,178,969 : x
  2. Step 2: Convert to fraction form
    14,672,310/32,178,969 = 32,178,969/x
  3. Step 3: Cross multiply
    14,672,310x = 32,178,969 × 32,178,969
  4. Step 4: Simplify right side
    14,672,310x = 1,035,486,045,902,961
  5. Step 5: Solve for x
    x = 1,035,486,045,902,961/14,672,310
  6. Step 6: Final answer
    x = 70,574,166.30

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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.