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Finding the Third Proportional to 1,289,430,243 and 1,935,510,133

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Solution

The third proportional to 1,289,430,243 and 1,935,510,133 is: 2,905,313,796.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289,430,243 : 1,935,510,133 = 1,935,510,133 : x
  2. Step 2: Convert to fraction form
    1,289,430,243/1,935,510,133 = 1,935,510,133/x
  3. Step 3: Cross multiply
    1,289,430,243x = 1,935,510,133 × 1,935,510,133
  4. Step 4: Simplify right side
    1,289,430,243x = 3,746,199,474,945,677,824
  5. Step 5: Solve for x
    x = 3,746,199,474,945,677,824/1,289,430,243
  6. Step 6: Final answer
    x = 2,905,313,796.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.