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Finding the Third Proportional to 916,296,984 and 1,942,541,292

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Solution

The third proportional to 916,296,984 and 1,942,541,292 is: 4,118,169,913.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    916,296,984 : 1,942,541,292 = 1,942,541,292 : x
  2. Step 2: Convert to fraction form
    916,296,984/1,942,541,292 = 1,942,541,292/x
  3. Step 3: Cross multiply
    916,296,984x = 1,942,541,292 × 1,942,541,292
  4. Step 4: Simplify right side
    916,296,984x = 3,773,466,671,125,029,376
  5. Step 5: Solve for x
    x = 3,773,466,671,125,029,376/916,296,984
  6. Step 6: Final answer
    x = 4,118,169,913.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.