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Finding the Third Proportional to 5,723,276,838 and 8,639,327,696

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Solution

The third proportional to 5,723,276,838 and 8,639,327,696 is: 13,041,127,513.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,723,276,838 : 8,639,327,696 = 8,639,327,696 : x
  2. Step 2: Convert to fraction form
    5,723,276,838/8,639,327,696 = 8,639,327,696/x
  3. Step 3: Cross multiply
    5,723,276,838x = 8,639,327,696 × 8,639,327,696
  4. Step 4: Simplify right side
    5,723,276,838x = 74,637,983,038,872,666,112
  5. Step 5: Solve for x
    x = 74,637,983,038,872,666,112/5,723,276,838
  6. Step 6: Final answer
    x = 13,041,127,513.40

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Why These Related Problems?

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