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Finding the Third Proportional to 7,576,745,772,582 and 15,555,156,911,264

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Solution

The third proportional to 7,576,745,772,582 and 15,555,156,911,264 is: 31,934,938,005,922.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,576,745,772,582 : 15,555,156,911,264 = 15,555,156,911,264 : x
  2. Step 2: Convert to fraction form
    7,576,745,772,582/15,555,156,911,264 = 15,555,156,911,264/x
  3. Step 3: Cross multiply
    7,576,745,772,582x = 15,555,156,911,264 × 15,555,156,911,264
  4. Step 4: Simplify right side
    7,576,745,772,582x = 241,962,906,534,044,198,363,987,968
  5. Step 5: Solve for x
    x = 241,962,906,534,044,198,363,987,968/7,576,745,772,582
  6. Step 6: Final answer
    x = 31,934,938,005,922.85

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.