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Finding the Third Proportional to 4,977,376,967 and 10,664,708,755

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Solution

The third proportional to 4,977,376,967 and 10,664,708,755 is: 22,850,592,507.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977,376,967 : 10,664,708,755 = 10,664,708,755 : x
  2. Step 2: Convert to fraction form
    4,977,376,967/10,664,708,755 = 10,664,708,755/x
  3. Step 3: Cross multiply
    4,977,376,967x = 10,664,708,755 × 10,664,708,755
  4. Step 4: Simplify right side
    4,977,376,967x = 113,736,012,828,973,645,824
  5. Step 5: Solve for x
    x = 113,736,012,828,973,645,824/4,977,376,967
  6. Step 6: Final answer
    x = 22,850,592,507.47

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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.