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Finding the Third Proportional to 4,307,697,137 and 9,220,523,335

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Solution

The third proportional to 4,307,697,137 and 9,220,523,335 is: 19,736,311,042.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,307,697,137 : 9,220,523,335 = 9,220,523,335 : x
  2. Step 2: Convert to fraction form
    4,307,697,137/9,220,523,335 = 9,220,523,335/x
  3. Step 3: Cross multiply
    4,307,697,137x = 9,220,523,335 × 9,220,523,335
  4. Step 4: Simplify right side
    4,307,697,137x = 85,018,050,571,279,515,648
  5. Step 5: Solve for x
    x = 85,018,050,571,279,515,648/4,307,697,137
  6. Step 6: Final answer
    x = 19,736,311,042.17

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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.