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Finding the Third Proportional to 662,379,580,044 and 1,440,814,916,798

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Solution

The third proportional to 662,379,580,044 and 1,440,814,916,798 is: 3,134,075,516,533.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,379,580,044 : 1,440,814,916,798 = 1,440,814,916,798 : x
  2. Step 2: Convert to fraction form
    662,379,580,044/1,440,814,916,798 = 1,440,814,916,798/x
  3. Step 3: Cross multiply
    662,379,580,044x = 1,440,814,916,798 × 1,440,814,916,798
  4. Step 4: Simplify right side
    662,379,580,044x = 2,075,947,624,467,627,623,055,360
  5. Step 5: Solve for x
    x = 2,075,947,624,467,627,623,055,360/662,379,580,044
  6. Step 6: Final answer
    x = 3,134,075,516,533.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.