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Finding the Third Proportional to 40,698,858,128 and 61,435,220,120

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Solution

The third proportional to 40,698,858,128 and 61,435,220,120 is: 92,736,908,227.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,698,858,128 : 61,435,220,120 = 61,435,220,120 : x
  2. Step 2: Convert to fraction form
    40,698,858,128/61,435,220,120 = 61,435,220,120/x
  3. Step 3: Cross multiply
    40,698,858,128x = 61,435,220,120 × 61,435,220,120
  4. Step 4: Simplify right side
    40,698,858,128x = 3,774,286,271,192,852,594,688
  5. Step 5: Solve for x
    x = 3,774,286,271,192,852,594,688/40,698,858,128
  6. Step 6: Final answer
    x = 92,736,908,227.81

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.