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Finding the Third Proportional to 46,573,566,286 and 101,307,302,936

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Solution

The third proportional to 46,573,566,286 and 101,307,302,936 is: 220,364,692,820.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,573,566,286 : 101,307,302,936 = 101,307,302,936 : x
  2. Step 2: Convert to fraction form
    46,573,566,286/101,307,302,936 = 101,307,302,936/x
  3. Step 3: Cross multiply
    46,573,566,286x = 101,307,302,936 × 101,307,302,936
  4. Step 4: Simplify right side
    46,573,566,286x = 10,263,169,628,166,474,956,800
  5. Step 5: Solve for x
    x = 10,263,169,628,166,474,956,800/46,573,566,286
  6. Step 6: Final answer
    x = 220,364,692,820.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.