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Finding the Third Proportional to 2,098,929,249 and 4,593,252,537

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Solution

The third proportional to 2,098,929,249 and 4,593,252,537 is: 10,051,777,056.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098,929,249 : 4,593,252,537 = 4,593,252,537 : x
  2. Step 2: Convert to fraction form
    2,098,929,249/4,593,252,537 = 4,593,252,537/x
  3. Step 3: Cross multiply
    2,098,929,249x = 4,593,252,537 × 4,593,252,537
  4. Step 4: Simplify right side
    2,098,929,249x = 21,097,968,868,656,934,912
  5. Step 5: Solve for x
    x = 21,097,968,868,656,934,912/2,098,929,249
  6. Step 6: Final answer
    x = 10,051,777,056.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.