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Finding the Third Proportional to 1,209,754,930 and 1,868,357,760

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Solution

The third proportional to 1,209,754,930 and 1,868,357,760 is: 2,885,510,637.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209,754,930 : 1,868,357,760 = 1,868,357,760 : x
  2. Step 2: Convert to fraction form
    1,209,754,930/1,868,357,760 = 1,868,357,760/x
  3. Step 3: Cross multiply
    1,209,754,930x = 1,868,357,760 × 1,868,357,760
  4. Step 4: Simplify right side
    1,209,754,930x = 3,490,760,719,352,217,600
  5. Step 5: Solve for x
    x = 3,490,760,719,352,217,600/1,209,754,930
  6. Step 6: Final answer
    x = 2,885,510,637.56

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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.