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Finding the Third Proportional to 1,075,495,669 and 2,314,434,408

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Solution

The third proportional to 1,075,495,669 and 2,314,434,408 is: 4,980,593,398.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075,495,669 : 2,314,434,408 = 2,314,434,408 : x
  2. Step 2: Convert to fraction form
    1,075,495,669/2,314,434,408 = 2,314,434,408/x
  3. Step 3: Cross multiply
    1,075,495,669x = 2,314,434,408 × 2,314,434,408
  4. Step 4: Simplify right side
    1,075,495,669x = 5,356,606,628,934,310,912
  5. Step 5: Solve for x
    x = 5,356,606,628,934,310,912/1,075,495,669
  6. Step 6: Final answer
    x = 4,980,593,398.31

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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.