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Finding the Third Proportional to 2,584,314,308 and 5,636,362,308

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Solution

The third proportional to 2,584,314,308 and 5,636,362,308 is: 12,292,846,875.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584,314,308 : 5,636,362,308 = 5,636,362,308 : x
  2. Step 2: Convert to fraction form
    2,584,314,308/5,636,362,308 = 5,636,362,308/x
  3. Step 3: Cross multiply
    2,584,314,308x = 5,636,362,308 × 5,636,362,308
  4. Step 4: Simplify right side
    2,584,314,308x = 31,768,580,067,043,086,336
  5. Step 5: Solve for x
    x = 31,768,580,067,043,086,336/2,584,314,308
  6. Step 6: Final answer
    x = 12,292,846,875.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.