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Finding the Third Proportional to 62,793,693,408 and 96,518,408,832

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Solution

The third proportional to 62,793,693,408 and 96,518,408,832 is: 148,355,714,369.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,793,693,408 : 96,518,408,832 = 96,518,408,832 : x
  2. Step 2: Convert to fraction form
    62,793,693,408/96,518,408,832 = 96,518,408,832/x
  3. Step 3: Cross multiply
    62,793,693,408x = 96,518,408,832 × 96,518,408,832
  4. Step 4: Simplify right side
    62,793,693,408x = 9,315,803,243,461,095,718,912
  5. Step 5: Solve for x
    x = 9,315,803,243,461,095,718,912/62,793,693,408
  6. Step 6: Final answer
    x = 148,355,714,369.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.