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Finding the Third Proportional to 5,675,643 and 12,610,998

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Solution

The third proportional to 5,675,643 and 12,610,998 is: 28,021,013.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,675,643 : 12,610,998 = 12,610,998 : x
  2. Step 2: Convert to fraction form
    5,675,643/12,610,998 = 12,610,998/x
  3. Step 3: Cross multiply
    5,675,643x = 12,610,998 × 12,610,998
  4. Step 4: Simplify right side
    5,675,643x = 159,037,270,556,004
  5. Step 5: Solve for x
    x = 159,037,270,556,004/5,675,643
  6. Step 6: Final answer
    x = 28,021,013.75

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