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Finding the Third Proportional to 872,963,496 and 1,891,226,736

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Solution

The third proportional to 872,963,496 and 1,891,226,736 is: 4,097,237,265.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,963,496 : 1,891,226,736 = 1,891,226,736 : x
  2. Step 2: Convert to fraction form
    872,963,496/1,891,226,736 = 1,891,226,736/x
  3. Step 3: Cross multiply
    872,963,496x = 1,891,226,736 × 1,891,226,736
  4. Step 4: Simplify right side
    872,963,496x = 3,576,738,566,961,213,440
  5. Step 5: Solve for x
    x = 3,576,738,566,961,213,440/872,963,496
  6. Step 6: Final answer
    x = 4,097,237,265.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.