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Finding the Third Proportional to 39,381,959,528 and 84,736,920,436

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Solution

The third proportional to 39,381,959,528 and 84,736,920,436 is: 182,325,759,587.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,381,959,528 : 84,736,920,436 = 84,736,920,436 : x
  2. Step 2: Convert to fraction form
    39,381,959,528/84,736,920,436 = 84,736,920,436/x
  3. Step 3: Cross multiply
    39,381,959,528x = 84,736,920,436 × 84,736,920,436
  4. Step 4: Simplify right side
    39,381,959,528x = 7,180,345,684,976,994,353,152
  5. Step 5: Solve for x
    x = 7,180,345,684,976,994,353,152/39,381,959,528
  6. Step 6: Final answer
    x = 182,325,759,587.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.