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Finding the Third Proportional to 475,646,215.50 and 727,685,532

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Solution

The third proportional to 475,646,215.50 and 727,685,532 is: 1,113,277,508.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,646,215.50 : 727,685,532 = 727,685,532 : x
  2. Step 2: Convert to fraction form
    475,646,215.50/727,685,532 = 727,685,532/x
  3. Step 3: Cross multiply
    475,646,215.50x = 727,685,532 × 727,685,532
  4. Step 4: Simplify right side
    475,646,215.50x = 529,526,233,482,123,008
  5. Step 5: Solve for x
    x = 529,526,233,482,123,008/475,646,215.50
  6. Step 6: Final answer
    x = 1,113,277,508.00

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.