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Finding the Third Proportional to 71,286,684,865.50 and 151,072,406,709

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Solution

The third proportional to 71,286,684,865.50 and 151,072,406,709 is: 320,156,170,986.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,286,684,865.50 : 151,072,406,709 = 151,072,406,709 : x
  2. Step 2: Convert to fraction form
    71,286,684,865.50/151,072,406,709 = 151,072,406,709/x
  3. Step 3: Cross multiply
    71,286,684,865.50x = 151,072,406,709 × 151,072,406,709
  4. Step 4: Simplify right side
    71,286,684,865.50x = 22,822,872,068,849,508,810,752
  5. Step 5: Solve for x
    x = 22,822,872,068,849,508,810,752/71,286,684,865.50
  6. Step 6: Final answer
    x = 320,156,170,986.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.