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Finding the Third Proportional to 42,147,658,746 and 91,012,923,330

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Solution

The third proportional to 42,147,658,746 and 91,012,923,330 is: 196,531,728,203.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,147,658,746 : 91,012,923,330 = 91,012,923,330 : x
  2. Step 2: Convert to fraction form
    42,147,658,746/91,012,923,330 = 91,012,923,330/x
  3. Step 3: Cross multiply
    42,147,658,746x = 91,012,923,330 × 91,012,923,330
  4. Step 4: Simplify right side
    42,147,658,746x = 8,283,352,213,072,458,547,200
  5. Step 5: Solve for x
    x = 8,283,352,213,072,458,547,200/42,147,658,746
  6. Step 6: Final answer
    x = 196,531,728,203.26

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.