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Finding the Third Proportional to 532,325,709.56 and 1,164,832,204.50

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Solution

The third proportional to 532,325,709.56 and 1,164,832,204.50 is: 2,548,879,455.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,325,709.56 : 1,164,832,204.50 = 1,164,832,204.50 : x
  2. Step 2: Convert to fraction form
    532,325,709.56/1,164,832,204.50 = 1,164,832,204.50/x
  3. Step 3: Cross multiply
    532,325,709.56x = 1,164,832,204.50 × 1,164,832,204.50
  4. Step 4: Simplify right side
    532,325,709.56x = 1,356,834,064,640,329,728
  5. Step 5: Solve for x
    x = 1,356,834,064,640,329,728/532,325,709.56
  6. Step 6: Final answer
    x = 2,548,879,455.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.