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Finding the Third Proportional to 2,031,010,648 and 4,422,585,470

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Solution

The third proportional to 2,031,010,648 and 4,422,585,470 is: 9,630,310,042.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031,010,648 : 4,422,585,470 = 4,422,585,470 : x
  2. Step 2: Convert to fraction form
    2,031,010,648/4,422,585,470 = 4,422,585,470/x
  3. Step 3: Cross multiply
    2,031,010,648x = 4,422,585,470 × 4,422,585,470
  4. Step 4: Simplify right side
    2,031,010,648x = 19,559,262,239,455,121,408
  5. Step 5: Solve for x
    x = 19,559,262,239,455,121,408/2,031,010,648
  6. Step 6: Final answer
    x = 9,630,310,042.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.