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Finding the Third Proportional to 37,360,926 and 82,077,097.50

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Solution

The third proportional to 37,360,926 and 82,077,097.50 is: 180,312,713.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,360,926 : 82,077,097.50 = 82,077,097.50 : x
  2. Step 2: Convert to fraction form
    37,360,926/82,077,097.50 = 82,077,097.50/x
  3. Step 3: Cross multiply
    37,360,926x = 82,077,097.50 × 82,077,097.50
  4. Step 4: Simplify right side
    37,360,926x = 6,736,649,934,024,506
  5. Step 5: Solve for x
    x = 6,736,649,934,024,506/37,360,926
  6. Step 6: Final answer
    x = 180,312,713.18

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.