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Finding the Third Proportional to 70,657,739 and 106,658,367

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Solution

The third proportional to 70,657,739 and 106,658,367 is: 161,001,574.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,657,739 : 106,658,367 = 106,658,367 : x
  2. Step 2: Convert to fraction form
    70,657,739/106,658,367 = 106,658,367/x
  3. Step 3: Cross multiply
    70,657,739x = 106,658,367 × 106,658,367
  4. Step 4: Simplify right side
    70,657,739x = 11,376,007,251,106,688
  5. Step 5: Solve for x
    x = 11,376,007,251,106,688/70,657,739
  6. Step 6: Final answer
    x = 161,001,574.80

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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.