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Finding the Third Proportional to 1,086,817,896 and 2,387,144,286

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Solution

The third proportional to 1,086,817,896 and 2,387,144,286 is: 5,243,249,916.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086,817,896 : 2,387,144,286 = 2,387,144,286 : x
  2. Step 2: Convert to fraction form
    1,086,817,896/2,387,144,286 = 2,387,144,286/x
  3. Step 3: Cross multiply
    1,086,817,896x = 2,387,144,286 × 2,387,144,286
  4. Step 4: Simplify right side
    1,086,817,896x = 5,698,457,842,182,450,176
  5. Step 5: Solve for x
    x = 5,698,457,842,182,450,176/1,086,817,896
  6. Step 6: Final answer
    x = 5,243,249,916.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.