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Finding the Third Proportional to 7,860,428 and 16,983,029

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Solution

The third proportional to 7,860,428 and 16,983,029 is: 36,693,074.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,860,428 : 16,983,029 = 16,983,029 : x
  2. Step 2: Convert to fraction form
    7,860,428/16,983,029 = 16,983,029/x
  3. Step 3: Cross multiply
    7,860,428x = 16,983,029 × 16,983,029
  4. Step 4: Simplify right side
    7,860,428x = 288,423,274,014,841
  5. Step 5: Solve for x
    x = 288,423,274,014,841/7,860,428
  6. Step 6: Final answer
    x = 36,693,074.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.