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Finding the Third Proportional to 29,992,084,306 and 64,497,874,172

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Solution

The third proportional to 29,992,084,306 and 64,497,874,172 is: 138,702,456,630.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,992,084,306 : 64,497,874,172 = 64,497,874,172 : x
  2. Step 2: Convert to fraction form
    29,992,084,306/64,497,874,172 = 64,497,874,172/x
  3. Step 3: Cross multiply
    29,992,084,306x = 64,497,874,172 × 64,497,874,172
  4. Step 4: Simplify right side
    29,992,084,306x = 4,159,975,772,707,144,859,648
  5. Step 5: Solve for x
    x = 4,159,975,772,707,144,859,648/29,992,084,306
  6. Step 6: Final answer
    x = 138,702,456,630.36

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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.