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Finding the Third Proportional to 1,366,447,152,642 and 2,845,994,305,692

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Solution

The third proportional to 1,366,447,152,642 and 2,845,994,305,692 is: 5,927,549,830,500.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366,447,152,642 : 2,845,994,305,692 = 2,845,994,305,692 : x
  2. Step 2: Convert to fraction form
    1,366,447,152,642/2,845,994,305,692 = 2,845,994,305,692/x
  3. Step 3: Cross multiply
    1,366,447,152,642x = 2,845,994,305,692 × 2,845,994,305,692
  4. Step 4: Simplify right side
    1,366,447,152,642x = 8,099,683,588,031,289,111,871,488
  5. Step 5: Solve for x
    x = 8,099,683,588,031,289,111,871,488/1,366,447,152,642
  6. Step 6: Final answer
    x = 5,927,549,830,500.73

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.