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Finding the Third Proportional to 38,648,589 and 84,241,572

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Solution

The third proportional to 38,648,589 and 84,241,572 is: 183,619,703.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,648,589 : 84,241,572 = 84,241,572 : x
  2. Step 2: Convert to fraction form
    38,648,589/84,241,572 = 84,241,572/x
  3. Step 3: Cross multiply
    38,648,589x = 84,241,572 × 84,241,572
  4. Step 4: Simplify right side
    38,648,589x = 7,096,642,453,031,184
  5. Step 5: Solve for x
    x = 7,096,642,453,031,184/38,648,589
  6. Step 6: Final answer
    x = 183,619,703.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.