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Finding the Third Proportional to 38,717,154 and 84,262,117.50

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Solution

The third proportional to 38,717,154 and 84,262,117.50 is: 183,383,945.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,717,154 : 84,262,117.50 = 84,262,117.50 : x
  2. Step 2: Convert to fraction form
    38,717,154/84,262,117.50 = 84,262,117.50/x
  3. Step 3: Cross multiply
    38,717,154x = 84,262,117.50 × 84,262,117.50
  4. Step 4: Simplify right side
    38,717,154x = 7,100,104,445,583,806
  5. Step 5: Solve for x
    x = 7,100,104,445,583,806/38,717,154
  6. Step 6: Final answer
    x = 183,383,945.15

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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.