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Finding the Third Proportional to 1,000,092,396 and 2,153,790,208

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Solution

The third proportional to 1,000,092,396 and 2,153,790,208 is: 4,638,383,691.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000,092,396 : 2,153,790,208 = 2,153,790,208 : x
  2. Step 2: Convert to fraction form
    1,000,092,396/2,153,790,208 = 2,153,790,208/x
  3. Step 3: Cross multiply
    1,000,092,396x = 2,153,790,208 × 2,153,790,208
  4. Step 4: Simplify right side
    1,000,092,396x = 4,638,812,260,076,683,264
  5. Step 5: Solve for x
    x = 4,638,812,260,076,683,264/1,000,092,396
  6. Step 6: Final answer
    x = 4,638,383,691.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.