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Finding the Third Proportional to 70,657,733 and 106,658,360

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Solution

The third proportional to 70,657,733 and 106,658,360 is: 161,001,567.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,657,733 : 106,658,360 = 106,658,360 : x
  2. Step 2: Convert to fraction form
    70,657,733/106,658,360 = 106,658,360/x
  3. Step 3: Cross multiply
    70,657,733x = 106,658,360 × 106,658,360
  4. Step 4: Simplify right side
    70,657,733x = 11,376,005,757,889,600
  5. Step 5: Solve for x
    x = 11,376,005,757,889,600/70,657,733
  6. Step 6: Final answer
    x = 161,001,567.34

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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.