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Finding the Third Proportional to 19,230,586.50 and 29,736,838.50

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Solution

The third proportional to 19,230,586.50 and 29,736,838.50 is: 45,982,974.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,230,586.50 : 29,736,838.50 = 29,736,838.50 : x
  2. Step 2: Convert to fraction form
    19,230,586.50/29,736,838.50 = 29,736,838.50/x
  3. Step 3: Cross multiply
    19,230,586.50x = 29,736,838.50 × 29,736,838.50
  4. Step 4: Simplify right side
    19,230,586.50x = 884,279,563,975,082.25
  5. Step 5: Solve for x
    x = 884,279,563,975,082.25/19,230,586.50
  6. Step 6: Final answer
    x = 45,982,974.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.