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Finding the Third Proportional to 7,852,563 and 16,610,499

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Solution

The third proportional to 7,852,563 and 16,610,499 is: 35,136,130.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852,563 : 16,610,499 = 16,610,499 : x
  2. Step 2: Convert to fraction form
    7,852,563/16,610,499 = 16,610,499/x
  3. Step 3: Cross multiply
    7,852,563x = 16,610,499 × 16,610,499
  4. Step 4: Simplify right side
    7,852,563x = 275,908,677,029,001
  5. Step 5: Solve for x
    x = 275,908,677,029,001/7,852,563
  6. Step 6: Final answer
    x = 35,136,130.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.