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Finding the Third Proportional to 39,381,959,522 and 84,736,920,417

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Solution

The third proportional to 39,381,959,522 and 84,736,920,417 is: 182,325,759,533.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,381,959,522 : 84,736,920,417 = 84,736,920,417 : x
  2. Step 2: Convert to fraction form
    39,381,959,522/84,736,920,417 = 84,736,920,417/x
  3. Step 3: Cross multiply
    39,381,959,522x = 84,736,920,417 × 84,736,920,417
  4. Step 4: Simplify right side
    39,381,959,522x = 7,180,345,681,756,991,520,768
  5. Step 5: Solve for x
    x = 7,180,345,681,756,991,520,768/39,381,959,522
  6. Step 6: Final answer
    x = 182,325,759,533.27

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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.