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Finding the Third Proportional to 594,974,759,406.75 and 1,274,830,481,532.40

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Solution

The third proportional to 594,974,759,406.75 and 1,274,830,481,532.40 is: 2,731,532,272,502.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,974,759,406.75 : 1,274,830,481,532.40 = 1,274,830,481,532.40 : x
  2. Step 2: Convert to fraction form
    594,974,759,406.75/1,274,830,481,532.40 = 1,274,830,481,532.40/x
  3. Step 3: Cross multiply
    594,974,759,406.75x = 1,274,830,481,532.40 × 1,274,830,481,532.40
  4. Step 4: Simplify right side
    594,974,759,406.75x = 1,625,192,756,644,130,559,361,024
  5. Step 5: Solve for x
    x = 1,625,192,756,644,130,559,361,024/594,974,759,406.75
  6. Step 6: Final answer
    x = 2,731,532,272,502.81

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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.