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Finding the Third Proportional to 46,573,565,896.50 and 101,307,302,103

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Solution

The third proportional to 46,573,565,896.50 and 101,307,302,103 is: 220,364,691,039.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,573,565,896.50 : 101,307,302,103 = 101,307,302,103 : x
  2. Step 2: Convert to fraction form
    46,573,565,896.50/101,307,302,103 = 101,307,302,103/x
  3. Step 3: Cross multiply
    46,573,565,896.50x = 101,307,302,103 × 101,307,302,103
  4. Step 4: Simplify right side
    46,573,565,896.50x = 10,263,169,459,388,508,274,688
  5. Step 5: Solve for x
    x = 10,263,169,459,388,508,274,688/46,573,565,896.50
  6. Step 6: Final answer
    x = 220,364,691,039.47

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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.