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Finding the Third Proportional to 1,642,609,905,765 and 2,414,709,429,819.80

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Solution

The third proportional to 1,642,609,905,765 and 2,414,709,429,819.80 is: 3,549,729,981,535.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642,609,905,765 : 2,414,709,429,819.80 = 2,414,709,429,819.80 : x
  2. Step 2: Convert to fraction form
    1,642,609,905,765/2,414,709,429,819.80 = 2,414,709,429,819.80/x
  3. Step 3: Cross multiply
    1,642,609,905,765x = 2,414,709,429,819.80 × 2,414,709,429,819.80
  4. Step 4: Simplify right side
    1,642,609,905,765x = 5,830,821,630,460,663,093,526,528
  5. Step 5: Solve for x
    x = 5,830,821,630,460,663,093,526,528/1,642,609,905,765
  6. Step 6: Final answer
    x = 3,549,729,981,535.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.