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Finding the Third Proportional to 32,477,229 and 67,256,548.50

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Solution

The third proportional to 32,477,229 and 67,256,548.50 is: 139,280,457.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,477,229 : 67,256,548.50 = 67,256,548.50 : x
  2. Step 2: Convert to fraction form
    32,477,229/67,256,548.50 = 67,256,548.50/x
  3. Step 3: Cross multiply
    32,477,229x = 67,256,548.50 × 67,256,548.50
  4. Step 4: Simplify right side
    32,477,229x = 4,523,443,316,132,852
  5. Step 5: Solve for x
    x = 4,523,443,316,132,852/32,477,229
  6. Step 6: Final answer
    x = 139,280,457.58

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.