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Finding the Third Proportional to 2,772,698,321 and 6,165,332,408

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Solution

The third proportional to 2,772,698,321 and 6,165,332,408 is: 13,709,145,136.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772,698,321 : 6,165,332,408 = 6,165,332,408 : x
  2. Step 2: Convert to fraction form
    2,772,698,321/6,165,332,408 = 6,165,332,408/x
  3. Step 3: Cross multiply
    2,772,698,321x = 6,165,332,408 × 6,165,332,408
  4. Step 4: Simplify right side
    2,772,698,321x = 38,011,323,701,135,081,472
  5. Step 5: Solve for x
    x = 38,011,323,701,135,081,472/2,772,698,321
  6. Step 6: Final answer
    x = 13,709,145,136.07

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.