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Finding the Third Proportional to 42,364,046,305.50 and 92,174,641,656

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Solution

The third proportional to 42,364,046,305.50 and 92,174,641,656 is: 200,551,300,108.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,364,046,305.50 : 92,174,641,656 = 92,174,641,656 : x
  2. Step 2: Convert to fraction form
    42,364,046,305.50/92,174,641,656 = 92,174,641,656/x
  3. Step 3: Cross multiply
    42,364,046,305.50x = 92,174,641,656 × 92,174,641,656
  4. Step 4: Simplify right side
    42,364,046,305.50x = 8,496,164,564,412,010,594,304
  5. Step 5: Solve for x
    x = 8,496,164,564,412,010,594,304/42,364,046,305.50
  6. Step 6: Final answer
    x = 200,551,300,108.20

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Why These Related Problems?

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