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Finding the Third Proportional to 4,620,431,652 and 10,087,547,016

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Solution

The third proportional to 4,620,431,652 and 10,087,547,016 is: 22,023,614,342.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,620,431,652 : 10,087,547,016 = 10,087,547,016 : x
  2. Step 2: Convert to fraction form
    4,620,431,652/10,087,547,016 = 10,087,547,016/x
  3. Step 3: Cross multiply
    4,620,431,652x = 10,087,547,016 × 10,087,547,016
  4. Step 4: Simplify right side
    4,620,431,652x = 101,758,604,800,010,502,144
  5. Step 5: Solve for x
    x = 101,758,604,800,010,502,144/4,620,431,652
  6. Step 6: Final answer
    x = 22,023,614,342.60

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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.