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Finding the Third Proportional to 349,850,127 and 809,925,106.50

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Solution

The third proportional to 349,850,127 and 809,925,106.50 is: 1,875,027,697.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,850,127 : 809,925,106.50 = 809,925,106.50 : x
  2. Step 2: Convert to fraction form
    349,850,127/809,925,106.50 = 809,925,106.50/x
  3. Step 3: Cross multiply
    349,850,127x = 809,925,106.50 × 809,925,106.50
  4. Step 4: Simplify right side
    349,850,127x = 655,978,678,139,036,288
  5. Step 5: Solve for x
    x = 655,978,678,139,036,288/349,850,127
  6. Step 6: Final answer
    x = 1,875,027,697.61

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.