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Finding the Third Proportional to 1,331,018,080 and 2,872,483,904

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Solution

The third proportional to 1,331,018,080 and 2,872,483,904 is: 6,199,137,263.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331,018,080 : 2,872,483,904 = 2,872,483,904 : x
  2. Step 2: Convert to fraction form
    1,331,018,080/2,872,483,904 = 2,872,483,904/x
  3. Step 3: Cross multiply
    1,331,018,080x = 2,872,483,904 × 2,872,483,904
  4. Step 4: Simplify right side
    1,331,018,080x = 8,251,163,778,739,081,216
  5. Step 5: Solve for x
    x = 8,251,163,778,739,081,216/1,331,018,080
  6. Step 6: Final answer
    x = 6,199,137,263.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.