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Finding the Third Proportional to 4,661,027,752 and 9,986,887,466

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Solution

The third proportional to 4,661,027,752 and 9,986,887,466 is: 21,398,268,057.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661,027,752 : 9,986,887,466 = 9,986,887,466 : x
  2. Step 2: Convert to fraction form
    4,661,027,752/9,986,887,466 = 9,986,887,466/x
  3. Step 3: Cross multiply
    4,661,027,752x = 9,986,887,466 × 9,986,887,466
  4. Step 4: Simplify right side
    4,661,027,752x = 99,737,921,258,547,904,512
  5. Step 5: Solve for x
    x = 99,737,921,258,547,904,512/4,661,027,752
  6. Step 6: Final answer
    x = 21,398,268,057.03

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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.