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Finding the Third Proportional to 547,608,332,012.50 and 1,170,578,724,473

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Solution

The third proportional to 547,608,332,012.50 and 1,170,578,724,473 is: 2,502,252,924,372.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,608,332,012.50 : 1,170,578,724,473 = 1,170,578,724,473 : x
  2. Step 2: Convert to fraction form
    547,608,332,012.50/1,170,578,724,473 = 1,170,578,724,473/x
  3. Step 3: Cross multiply
    547,608,332,012.50x = 1,170,578,724,473 × 1,170,578,724,473
  4. Step 4: Simplify right side
    547,608,332,012.50x = 1,370,254,550,188,835,553,148,928
  5. Step 5: Solve for x
    x = 1,370,254,550,188,835,553,148,928/547,608,332,012.50
  6. Step 6: Final answer
    x = 2,502,252,924,372.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.