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Finding the Third Proportional to 1,000,632,384 and 1,508,823,168

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Solution

The third proportional to 1,000,632,384 and 1,508,823,168 is: 2,275,108,610.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000,632,384 : 1,508,823,168 = 1,508,823,168 : x
  2. Step 2: Convert to fraction form
    1,000,632,384/1,508,823,168 = 1,508,823,168/x
  3. Step 3: Cross multiply
    1,000,632,384x = 1,508,823,168 × 1,508,823,168
  4. Step 4: Simplify right side
    1,000,632,384x = 2,276,547,352,293,556,224
  5. Step 5: Solve for x
    x = 2,276,547,352,293,556,224/1,000,632,384
  6. Step 6: Final answer
    x = 2,275,108,610.01

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.