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Finding the Third Proportional to 30,133,111,761 and 49,617,320,157

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Solution

The third proportional to 30,133,111,761 and 49,617,320,157 is: 81,700,107,147.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,133,111,761 : 49,617,320,157 = 49,617,320,157 : x
  2. Step 2: Convert to fraction form
    30,133,111,761/49,617,320,157 = 49,617,320,157/x
  3. Step 3: Cross multiply
    30,133,111,761x = 49,617,320,157 × 49,617,320,157
  4. Step 4: Simplify right side
    30,133,111,761x = 2,461,878,459,562,238,410,752
  5. Step 5: Solve for x
    x = 2,461,878,459,562,238,410,752/30,133,111,761
  6. Step 6: Final answer
    x = 81,700,107,147.53

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.