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Finding the Third Proportional to 6,787,938,575 and 14,613,285,513

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Solution

The third proportional to 6,787,938,575 and 14,613,285,513 is: 31,459,936,050.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,787,938,575 : 14,613,285,513 = 14,613,285,513 : x
  2. Step 2: Convert to fraction form
    6,787,938,575/14,613,285,513 = 14,613,285,513/x
  3. Step 3: Cross multiply
    6,787,938,575x = 14,613,285,513 × 14,613,285,513
  4. Step 4: Simplify right side
    6,787,938,575x = 213,548,113,484,455,673,856
  5. Step 5: Solve for x
    x = 213,548,113,484,455,673,856/6,787,938,575
  6. Step 6: Final answer
    x = 31,459,936,050.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.