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Finding the Third Proportional to 276,133,611.94 and 596,070,407.67

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Solution

The third proportional to 276,133,611.94 and 596,070,407.67 is: 1,286,695,699.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,133,611.94 : 596,070,407.67 = 596,070,407.67 : x
  2. Step 2: Convert to fraction form
    276,133,611.94/596,070,407.67 = 596,070,407.67/x
  3. Step 3: Cross multiply
    276,133,611.94x = 596,070,407.67 × 596,070,407.67
  4. Step 4: Simplify right side
    276,133,611.94x = 355,299,930,902,121,216
  5. Step 5: Solve for x
    x = 355,299,930,902,121,216/276,133,611.94
  6. Step 6: Final answer
    x = 1,286,695,699.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.