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Finding the Third Proportional to 7,398,898,974 and 10,690,130,898

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Solution

The third proportional to 7,398,898,974 and 10,690,130,898 is: 15,445,392,485.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,398,898,974 : 10,690,130,898 = 10,690,130,898 : x
  2. Step 2: Convert to fraction form
    7,398,898,974/10,690,130,898 = 10,690,130,898/x
  3. Step 3: Cross multiply
    7,398,898,974x = 10,690,130,898 × 10,690,130,898
  4. Step 4: Simplify right side
    7,398,898,974x = 114,278,898,616,374,280,192
  5. Step 5: Solve for x
    x = 114,278,898,616,374,280,192/7,398,898,974
  6. Step 6: Final answer
    x = 15,445,392,485.82

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.