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Finding the Third Proportional to 12,572,703 and 19,224,466.03

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Solution

The third proportional to 12,572,703 and 19,224,466.03 is: 29,395,436.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,572,703 : 19,224,466.03 = 19,224,466.03 : x
  2. Step 2: Convert to fraction form
    12,572,703/19,224,466.03 = 19,224,466.03/x
  3. Step 3: Cross multiply
    12,572,703x = 19,224,466.03 × 19,224,466.03
  4. Step 4: Simplify right side
    12,572,703x = 369,580,094,186,685.12
  5. Step 5: Solve for x
    x = 369,580,094,186,685.12/12,572,703
  6. Step 6: Final answer
    x = 29,395,436.62

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.