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Finding the Third Proportional to 1,209,754,932 and 1,868,357,764

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Solution

The third proportional to 1,209,754,932 and 1,868,357,764 is: 2,885,510,645.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209,754,932 : 1,868,357,764 = 1,868,357,764 : x
  2. Step 2: Convert to fraction form
    1,209,754,932/1,868,357,764 = 1,868,357,764/x
  3. Step 3: Cross multiply
    1,209,754,932x = 1,868,357,764 × 1,868,357,764
  4. Step 4: Simplify right side
    1,209,754,932x = 3,490,760,734,299,079,680
  5. Step 5: Solve for x
    x = 3,490,760,734,299,079,680/1,209,754,932
  6. Step 6: Final answer
    x = 2,885,510,645.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.