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Finding the Third Proportional to 7,758,000 and 16,461,648

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Solution

The third proportional to 7,758,000 and 16,461,648 is: 34,929,860.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758,000 : 16,461,648 = 16,461,648 : x
  2. Step 2: Convert to fraction form
    7,758,000/16,461,648 = 16,461,648/x
  3. Step 3: Cross multiply
    7,758,000x = 16,461,648 × 16,461,648
  4. Step 4: Simplify right side
    7,758,000x = 270,985,854,875,904
  5. Step 5: Solve for x
    x = 270,985,854,875,904/7,758,000
  6. Step 6: Final answer
    x = 34,929,860.13

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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.