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Finding the Third Proportional to 31,461,970,358 and 67,411,556,716

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Solution

The third proportional to 31,461,970,358 and 67,411,556,716 is: 144,438,441,940.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,461,970,358 : 67,411,556,716 = 67,411,556,716 : x
  2. Step 2: Convert to fraction form
    31,461,970,358/67,411,556,716 = 67,411,556,716/x
  3. Step 3: Cross multiply
    31,461,970,358x = 67,411,556,716 × 67,411,556,716
  4. Step 4: Simplify right side
    31,461,970,358x = 4,544,317,978,874,484,883,456
  5. Step 5: Solve for x
    x = 4,544,317,978,874,484,883,456/31,461,970,358
  6. Step 6: Final answer
    x = 144,438,441,940.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.