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Finding the Third Proportional to 6,787,938,581 and 14,613,285,525

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Solution

The third proportional to 6,787,938,581 and 14,613,285,525 is: 31,459,936,074.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,787,938,581 : 14,613,285,525 = 14,613,285,525 : x
  2. Step 2: Convert to fraction form
    6,787,938,581/14,613,285,525 = 14,613,285,525/x
  3. Step 3: Cross multiply
    6,787,938,581x = 14,613,285,525 × 14,613,285,525
  4. Step 4: Simplify right side
    6,787,938,581x = 213,548,113,835,174,526,976
  5. Step 5: Solve for x
    x = 213,548,113,835,174,526,976/6,787,938,581
  6. Step 6: Final answer
    x = 31,459,936,074.39

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1.5x scale

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.