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Finding the Third Proportional to 1,161,084,408 and 2,506,874,736

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Solution

The third proportional to 1,161,084,408 and 2,506,874,736 is: 5,412,544,427.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161,084,408 : 2,506,874,736 = 2,506,874,736 : x
  2. Step 2: Convert to fraction form
    1,161,084,408/2,506,874,736 = 2,506,874,736/x
  3. Step 3: Cross multiply
    1,161,084,408x = 2,506,874,736 × 2,506,874,736
  4. Step 4: Simplify right side
    1,161,084,408x = 6,284,420,941,995,069,440
  5. Step 5: Solve for x
    x = 6,284,420,941,995,069,440/1,161,084,408
  6. Step 6: Final answer
    x = 5,412,544,427.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.