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Finding the Third Proportional to 547,941,226,844 and 838,288,724,180

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Solution

The third proportional to 547,941,226,844 and 838,288,724,180 is: 1,282,487,884,941.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,941,226,844 : 838,288,724,180 = 838,288,724,180 : x
  2. Step 2: Convert to fraction form
    547,941,226,844/838,288,724,180 = 838,288,724,180/x
  3. Step 3: Cross multiply
    547,941,226,844x = 838,288,724,180 × 838,288,724,180
  4. Step 4: Simplify right side
    547,941,226,844x = 702,727,985,087,332,128,653,312
  5. Step 5: Solve for x
    x = 702,727,985,087,332,128,653,312/547,941,226,844
  6. Step 6: Final answer
    x = 1,282,487,884,941.35

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.