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Finding the Third Proportional to 29,857,989,874 and 64,146,986,076

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Solution

The third proportional to 29,857,989,874 and 64,146,986,076 is: 137,813,558,112.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,857,989,874 : 64,146,986,076 = 64,146,986,076 : x
  2. Step 2: Convert to fraction form
    29,857,989,874/64,146,986,076 = 64,146,986,076/x
  3. Step 3: Cross multiply
    29,857,989,874x = 64,146,986,076 × 64,146,986,076
  4. Step 4: Simplify right side
    29,857,989,874x = 4,114,835,822,634,538,106,880
  5. Step 5: Solve for x
    x = 4,114,835,822,634,538,106,880/29,857,989,874
  6. Step 6: Final answer
    x = 137,813,558,112.89

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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.