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Finding the Third Proportional to 2,535,898,294 and 5,521,993,434

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Solution

The third proportional to 2,535,898,294 and 5,521,993,434 is: 12,024,303,796.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,535,898,294 : 5,521,993,434 = 5,521,993,434 : x
  2. Step 2: Convert to fraction form
    2,535,898,294/5,521,993,434 = 5,521,993,434/x
  3. Step 3: Cross multiply
    2,535,898,294x = 5,521,993,434 × 5,521,993,434
  4. Step 4: Simplify right side
    2,535,898,294x = 30,492,411,485,139,111,936
  5. Step 5: Solve for x
    x = 30,492,411,485,139,111,936/2,535,898,294
  6. Step 6: Final answer
    x = 12,024,303,796.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.