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Finding the Third Proportional to 6,746,408,377,800 and 10,277,686,503,628

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Solution

The third proportional to 6,746,408,377,800 and 10,277,686,503,628 is: 15,657,344,464,122.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,746,408,377,800 : 10,277,686,503,628 = 10,277,686,503,628 : x
  2. Step 2: Convert to fraction form
    6,746,408,377,800/10,277,686,503,628 = 10,277,686,503,628/x
  3. Step 3: Cross multiply
    6,746,408,377,800x = 10,277,686,503,628 × 10,277,686,503,628
  4. Step 4: Simplify right side
    6,746,408,377,800x = 105,630,839,866,857,138,453,217,280
  5. Step 5: Solve for x
    x = 105,630,839,866,857,138,453,217,280/6,746,408,377,800
  6. Step 6: Final answer
    x = 15,657,344,464,122.60

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.