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Finding the Third Proportional to 46,750,196,040 and 100,120,022,416

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Solution

The third proportional to 46,750,196,040 and 100,120,022,416 is: 214,416,617,205.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,750,196,040 : 100,120,022,416 = 100,120,022,416 : x
  2. Step 2: Convert to fraction form
    46,750,196,040/100,120,022,416 = 100,120,022,416/x
  3. Step 3: Cross multiply
    46,750,196,040x = 100,120,022,416 × 100,120,022,416
  4. Step 4: Simplify right side
    46,750,196,040x = 10,024,018,888,580,342,480,896
  5. Step 5: Solve for x
    x = 10,024,018,888,580,342,480,896/46,750,196,040
  6. Step 6: Final answer
    x = 214,416,617,205.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.