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Finding the Third Proportional to 1,162,853,088 and 1,787,385,402

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Solution

The third proportional to 1,162,853,088 and 1,787,385,402 is: 2,747,334,644.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162,853,088 : 1,787,385,402 = 1,787,385,402 : x
  2. Step 2: Convert to fraction form
    1,162,853,088/1,787,385,402 = 1,787,385,402/x
  3. Step 3: Cross multiply
    1,162,853,088x = 1,787,385,402 × 1,787,385,402
  4. Step 4: Simplify right side
    1,162,853,088x = 3,194,746,575,282,701,824
  5. Step 5: Solve for x
    x = 3,194,746,575,282,701,824/1,162,853,088
  6. Step 6: Final answer
    x = 2,747,334,644.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.