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Finding the Third Proportional to 1,760,160,672 and 3,730,138,560

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Solution

The third proportional to 1,760,160,672 and 3,730,138,560 is: 7,904,922,486.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760,160,672 : 3,730,138,560 = 3,730,138,560 : x
  2. Step 2: Convert to fraction form
    1,760,160,672/3,730,138,560 = 3,730,138,560/x
  3. Step 3: Cross multiply
    1,760,160,672x = 3,730,138,560 × 3,730,138,560
  4. Step 4: Simplify right side
    1,760,160,672x = 13,913,933,676,798,873,600
  5. Step 5: Solve for x
    x = 13,913,933,676,798,873,600/1,760,160,672
  6. Step 6: Final answer
    x = 7,904,922,486.98

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.