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Finding the Third Proportional to 1,770,803,264 and 2,646,445,044

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Solution

The third proportional to 1,770,803,264 and 2,646,445,044 is: 3,955,081,579.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770,803,264 : 2,646,445,044 = 2,646,445,044 : x
  2. Step 2: Convert to fraction form
    1,770,803,264/2,646,445,044 = 2,646,445,044/x
  3. Step 3: Cross multiply
    1,770,803,264x = 2,646,445,044 × 2,646,445,044
  4. Step 4: Simplify right side
    1,770,803,264x = 7,003,671,370,912,161,792
  5. Step 5: Solve for x
    x = 7,003,671,370,912,161,792/1,770,803,264
  6. Step 6: Final answer
    x = 3,955,081,579.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.