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Finding the Third Proportional to 461,094,322.50 and 713,187,807.75

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Solution

The third proportional to 461,094,322.50 and 713,187,807.75 is: 1,103,108,028.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,094,322.50 : 713,187,807.75 = 713,187,807.75 : x
  2. Step 2: Convert to fraction form
    461,094,322.50/713,187,807.75 = 713,187,807.75/x
  3. Step 3: Cross multiply
    461,094,322.50x = 713,187,807.75 × 713,187,807.75
  4. Step 4: Simplify right side
    461,094,322.50x = 508,636,849,123,250,944
  5. Step 5: Solve for x
    x = 508,636,849,123,250,944/461,094,322.50
  6. Step 6: Final answer
    x = 1,103,108,028.67

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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.