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Finding the Third Proportional to 9,212,650,905 and 19,893,258,546

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Solution

The third proportional to 9,212,650,905 and 19,893,258,546 is: 42,956,336,852.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,212,650,905 : 19,893,258,546 = 19,893,258,546 : x
  2. Step 2: Convert to fraction form
    9,212,650,905/19,893,258,546 = 19,893,258,546/x
  3. Step 3: Cross multiply
    9,212,650,905x = 19,893,258,546 × 19,893,258,546
  4. Step 4: Simplify right side
    9,212,650,905x = 395,741,735,578,002,063,360
  5. Step 5: Solve for x
    x = 395,741,735,578,002,063,360/9,212,650,905
  6. Step 6: Final answer
    x = 42,956,336,852.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.