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Finding the Third Proportional to 2,873,584,881 and 6,195,705,964

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Solution

The third proportional to 2,873,584,881 and 6,195,705,964 is: 13,358,496,088.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,873,584,881 : 6,195,705,964 = 6,195,705,964 : x
  2. Step 2: Convert to fraction form
    2,873,584,881/6,195,705,964 = 6,195,705,964/x
  3. Step 3: Cross multiply
    2,873,584,881x = 6,195,705,964 × 6,195,705,964
  4. Step 4: Simplify right side
    2,873,584,881x = 38,386,772,392,345,165,824
  5. Step 5: Solve for x
    x = 38,386,772,392,345,165,824/2,873,584,881
  6. Step 6: Final answer
    x = 13,358,496,088.34

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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.