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Finding the Third Proportional to 45,638,958,750 and 63,064,415,169

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Solution

The third proportional to 45,638,958,750 and 63,064,415,169 is: 87,143,102,505.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,638,958,750 : 63,064,415,169 = 63,064,415,169 : x
  2. Step 2: Convert to fraction form
    45,638,958,750/63,064,415,169 = 63,064,415,169/x
  3. Step 3: Cross multiply
    45,638,958,750x = 63,064,415,169 × 63,064,415,169
  4. Step 4: Simplify right side
    45,638,958,750x = 3,977,120,460,607,997,345,792
  5. Step 5: Solve for x
    x = 3,977,120,460,607,997,345,792/45,638,958,750
  6. Step 6: Final answer
    x = 87,143,102,505.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.