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Finding the Third Proportional to 4,078,298,748 and 6,297,607,059

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Solution

The third proportional to 4,078,298,748 and 6,297,607,059 is: 9,724,607,519.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,078,298,748 : 6,297,607,059 = 6,297,607,059 : x
  2. Step 2: Convert to fraction form
    4,078,298,748/6,297,607,059 = 6,297,607,059/x
  3. Step 3: Cross multiply
    4,078,298,748x = 6,297,607,059 × 6,297,607,059
  4. Step 4: Simplify right side
    4,078,298,748x = 39,659,854,669,566,631,936
  5. Step 5: Solve for x
    x = 39,659,854,669,566,631,936/4,078,298,748
  6. Step 6: Final answer
    x = 9,724,607,519.01

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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.