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Finding the Third Proportional to 1,784,302,998 and 3,865,154,966

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Solution

The third proportional to 1,784,302,998 and 3,865,154,966 is: 8,372,693,947.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784,302,998 : 3,865,154,966 = 3,865,154,966 : x
  2. Step 2: Convert to fraction form
    1,784,302,998/3,865,154,966 = 3,865,154,966/x
  3. Step 3: Cross multiply
    1,784,302,998x = 3,865,154,966 × 3,865,154,966
  4. Step 4: Simplify right side
    1,784,302,998x = 14,939,422,911,194,460,160
  5. Step 5: Solve for x
    x = 14,939,422,911,194,460,160/1,784,302,998
  6. Step 6: Final answer
    x = 8,372,693,947.13

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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.