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Finding the Third Proportional to 554,974,554,512 and 883,073,615,340

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Solution

The third proportional to 554,974,554,512 and 883,073,615,340 is: 1,405,143,720,139.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,974,554,512 : 883,073,615,340 = 883,073,615,340 : x
  2. Step 2: Convert to fraction form
    554,974,554,512/883,073,615,340 = 883,073,615,340/x
  3. Step 3: Cross multiply
    554,974,554,512x = 883,073,615,340 × 883,073,615,340
  4. Step 4: Simplify right side
    554,974,554,512x = 779,819,010,109,658,340,786,176
  5. Step 5: Solve for x
    x = 779,819,010,109,658,340,786,176/554,974,554,512
  6. Step 6: Final answer
    x = 1,405,143,720,139.33

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.