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Finding the Third Proportional to 373,658,729.63 and 802,769,617.13

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Solution

The third proportional to 373,658,729.63 and 802,769,617.13 is: 1,724,672,828.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,658,729.63 : 802,769,617.13 = 802,769,617.13 : x
  2. Step 2: Convert to fraction form
    373,658,729.63/802,769,617.13 = 802,769,617.13/x
  3. Step 3: Cross multiply
    373,658,729.63x = 802,769,617.13 × 802,769,617.13
  4. Step 4: Simplify right side
    373,658,729.63x = 644,439,058,179,019,136
  5. Step 5: Solve for x
    x = 644,439,058,179,019,136/373,658,729.63
  6. Step 6: Final answer
    x = 1,724,672,828.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.