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Finding the Third Proportional to 172,791,008 and 377,852,536

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Solution

The third proportional to 172,791,008 and 377,852,536 is: 826,272,967.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,791,008 : 377,852,536 = 377,852,536 : x
  2. Step 2: Convert to fraction form
    172,791,008/377,852,536 = 377,852,536/x
  3. Step 3: Cross multiply
    172,791,008x = 377,852,536 × 377,852,536
  4. Step 4: Simplify right side
    172,791,008x = 142,772,538,961,631,296
  5. Step 5: Solve for x
    x = 142,772,538,961,631,296/172,791,008
  6. Step 6: Final answer
    x = 826,272,967.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.