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Finding the Third Proportional to 1,106,083,770 and 2,369,935,278

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Solution

The third proportional to 1,106,083,770 and 2,369,935,278 is: 5,077,909,444.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106,083,770 : 2,369,935,278 = 2,369,935,278 : x
  2. Step 2: Convert to fraction form
    1,106,083,770/2,369,935,278 = 2,369,935,278/x
  3. Step 3: Cross multiply
    1,106,083,770x = 2,369,935,278 × 2,369,935,278
  4. Step 4: Simplify right side
    1,106,083,770x = 5,616,593,221,908,937,728
  5. Step 5: Solve for x
    x = 5,616,593,221,908,937,728/1,106,083,770
  6. Step 6: Final answer
    x = 5,077,909,444.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.