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Finding the Third Proportional to 917,199,258,650 and 1,995,431,330,457

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Solution

The third proportional to 917,199,258,650 and 1,995,431,330,457 is: 4,341,200,842,693.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,199,258,650 : 1,995,431,330,457 = 1,995,431,330,457 : x
  2. Step 2: Convert to fraction form
    917,199,258,650/1,995,431,330,457 = 1,995,431,330,457/x
  3. Step 3: Cross multiply
    917,199,258,650x = 1,995,431,330,457 × 1,995,431,330,457
  4. Step 4: Simplify right side
    917,199,258,650x = 3,981,746,194,569,393,378,164,736
  5. Step 5: Solve for x
    x = 3,981,746,194,569,393,378,164,736/917,199,258,650
  6. Step 6: Final answer
    x = 4,341,200,842,693.67

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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.