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Finding the Third Proportional to 3,026,635,833 and 4,260,312,934.50

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Solution

The third proportional to 3,026,635,833 and 4,260,312,934.50 is: 5,996,845,111.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,026,635,833 : 4,260,312,934.50 = 4,260,312,934.50 : x
  2. Step 2: Convert to fraction form
    3,026,635,833/4,260,312,934.50 = 4,260,312,934.50/x
  3. Step 3: Cross multiply
    3,026,635,833x = 4,260,312,934.50 × 4,260,312,934.50
  4. Step 4: Simplify right side
    3,026,635,833x = 18,150,266,299,868,002,304
  5. Step 5: Solve for x
    x = 18,150,266,299,868,002,304/3,026,635,833
  6. Step 6: Final answer
    x = 5,996,845,111.65

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.