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Finding the Third Proportional to 917,199,258,588 and 1,995,431,330,341

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Solution

The third proportional to 917,199,258,588 and 1,995,431,330,341 is: 4,341,200,842,482.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,199,258,588 : 1,995,431,330,341 = 1,995,431,330,341 : x
  2. Step 2: Convert to fraction form
    917,199,258,588/1,995,431,330,341 = 1,995,431,330,341/x
  3. Step 3: Cross multiply
    917,199,258,588x = 1,995,431,330,341 × 1,995,431,330,341
  4. Step 4: Simplify right side
    917,199,258,588x = 3,981,746,194,106,452,811,972,608
  5. Step 5: Solve for x
    x = 3,981,746,194,106,452,811,972,608/917,199,258,588
  6. Step 6: Final answer
    x = 4,341,200,842,482.39

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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.