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Finding the Third Proportional to 530,509,837.50 and 1,141,641,243

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Solution

The third proportional to 530,509,837.50 and 1,141,641,243 is: 2,456,777,679.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,509,837.50 : 1,141,641,243 = 1,141,641,243 : x
  2. Step 2: Convert to fraction form
    530,509,837.50/1,141,641,243 = 1,141,641,243/x
  3. Step 3: Cross multiply
    530,509,837.50x = 1,141,641,243 × 1,141,641,243
  4. Step 4: Simplify right side
    530,509,837.50x = 1,303,344,727,718,585,088
  5. Step 5: Solve for x
    x = 1,303,344,727,718,585,088/530,509,837.50
  6. Step 6: Final answer
    x = 2,456,777,679.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.