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Finding the Third Proportional to 597,727,299.38 and 937,572,799.50

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Solution

The third proportional to 597,727,299.38 and 937,572,799.50 is: 1,470,641,804.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,727,299.38 : 937,572,799.50 = 937,572,799.50 : x
  2. Step 2: Convert to fraction form
    597,727,299.38/937,572,799.50 = 937,572,799.50/x
  3. Step 3: Cross multiply
    597,727,299.38x = 937,572,799.50 × 937,572,799.50
  4. Step 4: Simplify right side
    597,727,299.38x = 879,042,754,362,267,264
  5. Step 5: Solve for x
    x = 879,042,754,362,267,264/597,727,299.38
  6. Step 6: Final answer
    x = 1,470,641,804.85

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.