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Finding the Third Proportional to 40,047,642 and 60,178,090.50

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Solution

The third proportional to 40,047,642 and 60,178,090.50 is: 90,427,360.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,047,642 : 60,178,090.50 = 60,178,090.50 : x
  2. Step 2: Convert to fraction form
    40,047,642/60,178,090.50 = 60,178,090.50/x
  3. Step 3: Cross multiply
    40,047,642x = 60,178,090.50 × 60,178,090.50
  4. Step 4: Simplify right side
    40,047,642x = 3,621,402,576,226,190
  5. Step 5: Solve for x
    x = 3,621,402,576,226,190/40,047,642
  6. Step 6: Final answer
    x = 90,427,360.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.