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Finding the Third Proportional to 668,666,900 and 1,013,112,606

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Solution

The third proportional to 668,666,900 and 1,013,112,606 is: 1,534,990,220.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,666,900 : 1,013,112,606 = 1,013,112,606 : x
  2. Step 2: Convert to fraction form
    668,666,900/1,013,112,606 = 1,013,112,606/x
  3. Step 3: Cross multiply
    668,666,900x = 1,013,112,606 × 1,013,112,606
  4. Step 4: Simplify right side
    668,666,900x = 1,026,397,152,436,111,232
  5. Step 5: Solve for x
    x = 1,026,397,152,436,111,232/668,666,900
  6. Step 6: Final answer
    x = 1,534,990,220.75

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.