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Finding the Third Proportional to 1,086,817,900 and 2,387,144,294

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Solution

The third proportional to 1,086,817,900 and 2,387,144,294 is: 5,243,249,932.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086,817,900 : 2,387,144,294 = 2,387,144,294 : x
  2. Step 2: Convert to fraction form
    1,086,817,900/2,387,144,294 = 2,387,144,294/x
  3. Step 3: Cross multiply
    1,086,817,900x = 2,387,144,294 × 2,387,144,294
  4. Step 4: Simplify right side
    1,086,817,900x = 5,698,457,880,376,758,272
  5. Step 5: Solve for x
    x = 5,698,457,880,376,758,272/1,086,817,900
  6. Step 6: Final answer
    x = 5,243,249,932.10

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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.