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Finding the Third Proportional to 38,648,792.25 and 84,242,038.50

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Solution

The third proportional to 38,648,792.25 and 84,242,038.50 is: 183,620,771.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,648,792.25 : 84,242,038.50 = 84,242,038.50 : x
  2. Step 2: Convert to fraction form
    38,648,792.25/84,242,038.50 = 84,242,038.50/x
  3. Step 3: Cross multiply
    38,648,792.25x = 84,242,038.50 × 84,242,038.50
  4. Step 4: Simplify right side
    38,648,792.25x = 7,096,721,050,635,482
  5. Step 5: Solve for x
    x = 7,096,721,050,635,482/38,648,792.25
  6. Step 6: Final answer
    x = 183,620,771.50

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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.