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Finding the Third Proportional to 37,297,541.50 and 78,460,096.50

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Solution

The third proportional to 37,297,541.50 and 78,460,096.50 is: 165,050,737.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,297,541.50 : 78,460,096.50 = 78,460,096.50 : x
  2. Step 2: Convert to fraction form
    37,297,541.50/78,460,096.50 = 78,460,096.50/x
  3. Step 3: Cross multiply
    37,297,541.50x = 78,460,096.50 × 78,460,096.50
  4. Step 4: Simplify right side
    37,297,541.50x = 6,155,986,742,789,312
  5. Step 5: Solve for x
    x = 6,155,986,742,789,312/37,297,541.50
  6. Step 6: Final answer
    x = 165,050,737.80

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.