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Finding the Third Proportional to 31,421,010,388 and 47,085,553,014

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Solution

The third proportional to 31,421,010,388 and 47,085,553,014 is: 70,559,452,902.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,421,010,388 : 47,085,553,014 = 47,085,553,014 : x
  2. Step 2: Convert to fraction form
    31,421,010,388/47,085,553,014 = 47,085,553,014/x
  3. Step 3: Cross multiply
    31,421,010,388x = 47,085,553,014 × 47,085,553,014
  4. Step 4: Simplify right side
    31,421,010,388x = 2,217,049,302,634,204,495,872
  5. Step 5: Solve for x
    x = 2,217,049,302,634,204,495,872/31,421,010,388
  6. Step 6: Final answer
    x = 70,559,452,902.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.