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Finding the Third Proportional to 2,151,032,031 and 4,628,950,031.25

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Solution

The third proportional to 2,151,032,031 and 4,628,950,031.25 is: 9,961,347,893.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151,032,031 : 4,628,950,031.25 = 4,628,950,031.25 : x
  2. Step 2: Convert to fraction form
    2,151,032,031/4,628,950,031.25 = 4,628,950,031.25/x
  3. Step 3: Cross multiply
    2,151,032,031x = 4,628,950,031.25 × 4,628,950,031.25
  4. Step 4: Simplify right side
    2,151,032,031x = 21,427,178,391,809,376,256
  5. Step 5: Solve for x
    x = 21,427,178,391,809,376,256/2,151,032,031
  6. Step 6: Final answer
    x = 9,961,347,893.94

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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.