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Finding the Third Proportional to 46,573,566,120 and 101,307,302,550

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Solution

The third proportional to 46,573,566,120 and 101,307,302,550 is: 220,364,691,926.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,573,566,120 : 101,307,302,550 = 101,307,302,550 : x
  2. Step 2: Convert to fraction form
    46,573,566,120/101,307,302,550 = 101,307,302,550/x
  3. Step 3: Cross multiply
    46,573,566,120x = 101,307,302,550 × 101,307,302,550
  4. Step 4: Simplify right side
    46,573,566,120x = 10,263,169,549,957,236,523,008
  5. Step 5: Solve for x
    x = 10,263,169,549,957,236,523,008/46,573,566,120
  6. Step 6: Final answer
    x = 220,364,691,926.61

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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.