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Finding the Third Proportional to 4,677,571,638 and 10,400,974,603.88

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Solution

The third proportional to 4,677,571,638 and 10,400,974,603.88 is: 23,127,443,272.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677,571,638 : 10,400,974,603.88 = 10,400,974,603.88 : x
  2. Step 2: Convert to fraction form
    4,677,571,638/10,400,974,603.88 = 10,400,974,603.88/x
  3. Step 3: Cross multiply
    4,677,571,638x = 10,400,974,603.88 × 10,400,974,603.88
  4. Step 4: Simplify right side
    4,677,571,638x = 108,180,272,710,452,707,328
  5. Step 5: Solve for x
    x = 108,180,272,710,452,707,328/4,677,571,638
  6. Step 6: Final answer
    x = 23,127,443,272.40

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.