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Finding the Third Proportional to 1,381,686,606 and 1,975,828,104

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Solution

The third proportional to 1,381,686,606 and 1,975,828,104 is: 2,825,457,437.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381,686,606 : 1,975,828,104 = 1,975,828,104 : x
  2. Step 2: Convert to fraction form
    1,381,686,606/1,975,828,104 = 1,975,828,104/x
  3. Step 3: Cross multiply
    1,381,686,606x = 1,975,828,104 × 1,975,828,104
  4. Step 4: Simplify right side
    1,381,686,606x = 3,903,896,696,556,234,752
  5. Step 5: Solve for x
    x = 3,903,896,696,556,234,752/1,381,686,606
  6. Step 6: Final answer
    x = 2,825,457,437.02

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.