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Finding the Third Proportional to 668,666,898 and 1,013,112,603

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Solution

The third proportional to 668,666,898 and 1,013,112,603 is: 1,534,990,216.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,666,898 : 1,013,112,603 = 1,013,112,603 : x
  2. Step 2: Convert to fraction form
    668,666,898/1,013,112,603 = 1,013,112,603/x
  3. Step 3: Cross multiply
    668,666,898x = 1,013,112,603 × 1,013,112,603
  4. Step 4: Simplify right side
    668,666,898x = 1,026,397,146,357,435,648
  5. Step 5: Solve for x
    x = 1,026,397,146,357,435,648/668,666,898
  6. Step 6: Final answer
    x = 1,534,990,216.25

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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.