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Finding the Third Proportional to 2,108,818,429 and 4,535,006,780

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Solution

The third proportional to 2,108,818,429 and 4,535,006,780 is: 9,752,516,485.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108,818,429 : 4,535,006,780 = 4,535,006,780 : x
  2. Step 2: Convert to fraction form
    2,108,818,429/4,535,006,780 = 4,535,006,780/x
  3. Step 3: Cross multiply
    2,108,818,429x = 4,535,006,780 × 4,535,006,780
  4. Step 4: Simplify right side
    2,108,818,429x = 20,566,286,494,645,968,896
  5. Step 5: Solve for x
    x = 20,566,286,494,645,968,896/2,108,818,429
  6. Step 6: Final answer
    x = 9,752,516,485.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.