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Finding the Third Proportional to 447,916,414.88 and 695,457,322.50

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Solution

The third proportional to 447,916,414.88 and 695,457,322.50 is: 1,079,801,657.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,916,414.88 : 695,457,322.50 = 695,457,322.50 : x
  2. Step 2: Convert to fraction form
    447,916,414.88/695,457,322.50 = 695,457,322.50/x
  3. Step 3: Cross multiply
    447,916,414.88x = 695,457,322.50 × 695,457,322.50
  4. Step 4: Simplify right side
    447,916,414.88x = 483,660,887,418,868,992
  5. Step 5: Solve for x
    x = 483,660,887,418,868,992/447,916,414.88
  6. Step 6: Final answer
    x = 1,079,801,657.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.