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Finding the Third Proportional to 14,497,286,790 and 31,210,210,383

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Solution

The third proportional to 14,497,286,790 and 31,210,210,383 is: 67,190,312,660.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,497,286,790 : 31,210,210,383 = 31,210,210,383 : x
  2. Step 2: Convert to fraction form
    14,497,286,790/31,210,210,383 = 31,210,210,383/x
  3. Step 3: Cross multiply
    14,497,286,790x = 31,210,210,383 × 31,210,210,383
  4. Step 4: Simplify right side
    14,497,286,790x = 974,077,232,151,120,969,728
  5. Step 5: Solve for x
    x = 974,077,232,151,120,969,728/14,497,286,790
  6. Step 6: Final answer
    x = 67,190,312,660.64

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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.