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Finding the Third Proportional to 21,473,835 and 32,523,331.50

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Solution

The third proportional to 21,473,835 and 32,523,331.50 is: 49,258,415.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,473,835 : 32,523,331.50 = 32,523,331.50 : x
  2. Step 2: Convert to fraction form
    21,473,835/32,523,331.50 = 32,523,331.50/x
  3. Step 3: Cross multiply
    21,473,835x = 32,523,331.50 × 32,523,331.50
  4. Step 4: Simplify right side
    21,473,835x = 1,057,767,091,858,892.25
  5. Step 5: Solve for x
    x = 1,057,767,091,858,892.25/21,473,835
  6. Step 6: Final answer
    x = 49,258,415.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.