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Finding the Third Proportional to 38,024,925.75 and 82,111,405.50

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Solution

The third proportional to 38,024,925.75 and 82,111,405.50 is: 177,312,191.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,024,925.75 : 82,111,405.50 = 82,111,405.50 : x
  2. Step 2: Convert to fraction form
    38,024,925.75/82,111,405.50 = 82,111,405.50/x
  3. Step 3: Cross multiply
    38,024,925.75x = 82,111,405.50 × 82,111,405.50
  4. Step 4: Simplify right side
    38,024,925.75x = 6,742,282,913,185,430
  5. Step 5: Solve for x
    x = 6,742,282,913,185,430/38,024,925.75
  6. Step 6: Final answer
    x = 177,312,191.42

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.