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Finding the Third Proportional to 398,101,475,424 and 877,348,710,360

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Solution

The third proportional to 398,101,475,424 and 877,348,710,360 is: 1,933,529,029,879.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,101,475,424 : 877,348,710,360 = 877,348,710,360 : x
  2. Step 2: Convert to fraction form
    398,101,475,424/877,348,710,360 = 877,348,710,360/x
  3. Step 3: Cross multiply
    398,101,475,424x = 877,348,710,360 × 877,348,710,360
  4. Step 4: Simplify right side
    398,101,475,424x = 769,740,759,570,355,211,730,944
  5. Step 5: Solve for x
    x = 769,740,759,570,355,211,730,944/398,101,475,424
  6. Step 6: Final answer
    x = 1,933,529,029,879.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.