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Finding the Third Proportional to 1,194,341,714 and 2,618,265,940

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Solution

The third proportional to 1,194,341,714 and 2,618,265,940 is: 5,739,828,436.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194,341,714 : 2,618,265,940 = 2,618,265,940 : x
  2. Step 2: Convert to fraction form
    1,194,341,714/2,618,265,940 = 2,618,265,940/x
  3. Step 3: Cross multiply
    1,194,341,714x = 2,618,265,940 × 2,618,265,940
  4. Step 4: Simplify right side
    1,194,341,714x = 6,855,316,532,564,083,712
  5. Step 5: Solve for x
    x = 6,855,316,532,564,083,712/1,194,341,714
  6. Step 6: Final answer
    x = 5,739,828,436.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.