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Finding the Third Proportional to 42,364,046,310 and 92,174,641,662

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Solution

The third proportional to 42,364,046,310 and 92,174,641,662 is: 200,551,300,113.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,364,046,310 : 92,174,641,662 = 92,174,641,662 : x
  2. Step 2: Convert to fraction form
    42,364,046,310/92,174,641,662 = 92,174,641,662/x
  3. Step 3: Cross multiply
    42,364,046,310x = 92,174,641,662 × 92,174,641,662
  4. Step 4: Simplify right side
    42,364,046,310x = 8,496,164,565,518,106,230,784
  5. Step 5: Solve for x
    x = 8,496,164,565,518,106,230,784/42,364,046,310
  6. Step 6: Final answer
    x = 200,551,300,113.01

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.