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Finding the Third Proportional to 29,857,989,872 and 64,146,986,072

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Solution

The third proportional to 29,857,989,872 and 64,146,986,072 is: 137,813,558,104.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,857,989,872 : 64,146,986,072 = 64,146,986,072 : x
  2. Step 2: Convert to fraction form
    29,857,989,872/64,146,986,072 = 64,146,986,072/x
  3. Step 3: Cross multiply
    29,857,989,872x = 64,146,986,072 × 64,146,986,072
  4. Step 4: Simplify right side
    29,857,989,872x = 4,114,835,822,121,361,866,752
  5. Step 5: Solve for x
    x = 4,114,835,822,121,361,866,752/29,857,989,872
  6. Step 6: Final answer
    x = 137,813,558,104.93

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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.