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Finding the Third Proportional to 4,977,376,881 and 10,664,708,580

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Solution

The third proportional to 4,977,376,881 and 10,664,708,580 is: 22,850,592,152.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977,376,881 : 10,664,708,580 = 10,664,708,580 : x
  2. Step 2: Convert to fraction form
    4,977,376,881/10,664,708,580 = 10,664,708,580/x
  3. Step 3: Cross multiply
    4,977,376,881x = 10,664,708,580 × 10,664,708,580
  4. Step 4: Simplify right side
    4,977,376,881x = 113,736,009,096,325,611,520
  5. Step 5: Solve for x
    x = 113,736,009,096,325,611,520/4,977,376,881
  6. Step 6: Final answer
    x = 22,850,592,152.36

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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.