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Finding the Third Proportional to 1,155,107,484 and 2,521,885,998

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Solution

The third proportional to 1,155,107,484 and 2,521,885,998 is: 5,505,902,329.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155,107,484 : 2,521,885,998 = 2,521,885,998 : x
  2. Step 2: Convert to fraction form
    1,155,107,484/2,521,885,998 = 2,521,885,998/x
  3. Step 3: Cross multiply
    1,155,107,484x = 2,521,885,998 × 2,521,885,998
  4. Step 4: Simplify right side
    1,155,107,484x = 6,359,908,986,908,455,936
  5. Step 5: Solve for x
    x = 6,359,908,986,908,455,936/1,155,107,484
  6. Step 6: Final answer
    x = 5,505,902,329.44

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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.