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Finding the Third Proportional to 54,479,445,160 and 76,685,633,070

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Solution

The third proportional to 54,479,445,160 and 76,685,633,070 is: 107,943,212,381.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,479,445,160 : 76,685,633,070 = 76,685,633,070 : x
  2. Step 2: Convert to fraction form
    54,479,445,160/76,685,633,070 = 76,685,633,070/x
  3. Step 3: Cross multiply
    54,479,445,160x = 76,685,633,070 × 76,685,633,070
  4. Step 4: Simplify right side
    54,479,445,160x = 5,880,686,319,346,677,448,704
  5. Step 5: Solve for x
    x = 5,880,686,319,346,677,448,704/54,479,445,160
  6. Step 6: Final answer
    x = 107,943,212,381.77

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.