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Finding the Third Proportional to 46,573,564,328 and 101,307,299,048

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Solution

The third proportional to 46,573,564,328 and 101,307,299,048 is: 220,364,685,170.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,573,564,328 : 101,307,299,048 = 101,307,299,048 : x
  2. Step 2: Convert to fraction form
    46,573,564,328/101,307,299,048 = 101,307,299,048/x
  3. Step 3: Cross multiply
    46,573,564,328x = 101,307,299,048 × 101,307,299,048
  4. Step 4: Simplify right side
    46,573,564,328x = 10,263,168,840,400,902,291,456
  5. Step 5: Solve for x
    x = 10,263,168,840,400,902,291,456/46,573,564,328
  6. Step 6: Final answer
    x = 220,364,685,170.35

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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.