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Finding the Third Proportional to 457,004,073 and 696,214,093.50

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Solution

The third proportional to 457,004,073 and 696,214,093.50 is: 1,060,634,013.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,004,073 : 696,214,093.50 = 696,214,093.50 : x
  2. Step 2: Convert to fraction form
    457,004,073/696,214,093.50 = 696,214,093.50/x
  3. Step 3: Cross multiply
    457,004,073x = 696,214,093.50 × 696,214,093.50
  4. Step 4: Simplify right side
    457,004,073x = 484,714,063,988,026,752
  5. Step 5: Solve for x
    x = 484,714,063,988,026,752/457,004,073
  6. Step 6: Final answer
    x = 1,060,634,013.19

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.