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Finding the Third Proportional to 657,783,598 and 1,462,637,230

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Solution

The third proportional to 657,783,598 and 1,462,637,230 is: 3,252,297,067.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,783,598 : 1,462,637,230 = 1,462,637,230 : x
  2. Step 2: Convert to fraction form
    657,783,598/1,462,637,230 = 1,462,637,230/x
  3. Step 3: Cross multiply
    657,783,598x = 1,462,637,230 × 1,462,637,230
  4. Step 4: Simplify right side
    657,783,598x = 2,139,307,666,582,072,832
  5. Step 5: Solve for x
    x = 2,139,307,666,582,072,832/657,783,598
  6. Step 6: Final answer
    x = 3,252,297,067.13

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.