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Finding the Third Proportional to 70,657,764 and 106,658,406

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Solution

The third proportional to 70,657,764 and 106,658,406 is: 161,001,635.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,657,764 : 106,658,406 = 106,658,406 : x
  2. Step 2: Convert to fraction form
    70,657,764/106,658,406 = 106,658,406/x
  3. Step 3: Cross multiply
    70,657,764x = 106,658,406 × 106,658,406
  4. Step 4: Simplify right side
    70,657,764x = 11,376,015,570,460,836
  5. Step 5: Solve for x
    x = 11,376,015,570,460,836/70,657,764
  6. Step 6: Final answer
    x = 161,001,635.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.