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Finding the Third Proportional to 477,828,674,785 and 1,023,813,017,569.50

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Solution

The third proportional to 477,828,674,785 and 1,023,813,017,569.50 is: 2,193,658,836,854.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,828,674,785 : 1,023,813,017,569.50 = 1,023,813,017,569.50 : x
  2. Step 2: Convert to fraction form
    477,828,674,785/1,023,813,017,569.50 = 1,023,813,017,569.50/x
  3. Step 3: Cross multiply
    477,828,674,785x = 1,023,813,017,569.50 × 1,023,813,017,569.50
  4. Step 4: Simplify right side
    477,828,674,785x = 1,048,193,094,944,765,260,070,912
  5. Step 5: Solve for x
    x = 1,048,193,094,944,765,260,070,912/477,828,674,785
  6. Step 6: Final answer
    x = 2,193,658,836,854.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.