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Finding the Third Proportional to 4,661,003,312 and 9,986,839,312

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Solution

The third proportional to 4,661,003,312 and 9,986,839,312 is: 21,398,173,905.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661,003,312 : 9,986,839,312 = 9,986,839,312 : x
  2. Step 2: Convert to fraction form
    4,661,003,312/9,986,839,312 = 9,986,839,312/x
  3. Step 3: Cross multiply
    4,661,003,312x = 9,986,839,312 × 9,986,839,312
  4. Step 4: Simplify right side
    4,661,003,312x = 99,736,959,443,708,641,280
  5. Step 5: Solve for x
    x = 99,736,959,443,708,641,280/4,661,003,312
  6. Step 6: Final answer
    x = 21,398,173,905.38

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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.