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Finding the Third Proportional to 3,032,899.50 and 6,492,261

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Solution

The third proportional to 3,032,899.50 and 6,492,261 is: 13,897,411.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,032,899.50 : 6,492,261 = 6,492,261 : x
  2. Step 2: Convert to fraction form
    3,032,899.50/6,492,261 = 6,492,261/x
  3. Step 3: Cross multiply
    3,032,899.50x = 6,492,261 × 6,492,261
  4. Step 4: Simplify right side
    3,032,899.50x = 42,149,452,892,121
  5. Step 5: Solve for x
    x = 42,149,452,892,121/3,032,899.50
  6. Step 6: Final answer
    x = 13,897,411.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.