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Finding the Third Proportional to 612,068,998.50 and 1,328,055,465

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Solution

The third proportional to 612,068,998.50 and 1,328,055,465 is: 2,881,589,040.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,068,998.50 : 1,328,055,465 = 1,328,055,465 : x
  2. Step 2: Convert to fraction form
    612,068,998.50/1,328,055,465 = 1,328,055,465/x
  3. Step 3: Cross multiply
    612,068,998.50x = 1,328,055,465 × 1,328,055,465
  4. Step 4: Simplify right side
    612,068,998.50x = 1,763,731,318,116,366,336
  5. Step 5: Solve for x
    x = 1,763,731,318,116,366,336/612,068,998.50
  6. Step 6: Final answer
    x = 2,881,589,040.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.