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Finding the Third Proportional to 711,535,258,626 and 1,083,974,748,471

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Solution

The third proportional to 711,535,258,626 and 1,083,974,748,471 is: 1,651,360,549,007.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,535,258,626 : 1,083,974,748,471 = 1,083,974,748,471 : x
  2. Step 2: Convert to fraction form
    711,535,258,626/1,083,974,748,471 = 1,083,974,748,471/x
  3. Step 3: Cross multiply
    711,535,258,626x = 1,083,974,748,471 × 1,083,974,748,471
  4. Step 4: Simplify right side
    711,535,258,626x = 1,175,001,255,322,767,706,816,512
  5. Step 5: Solve for x
    x = 1,175,001,255,322,767,706,816,512/711,535,258,626
  6. Step 6: Final answer
    x = 1,651,360,549,007.42

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.