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Finding the Third Proportional to 1,106,083,773 and 2,369,935,284

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Solution

The third proportional to 1,106,083,773 and 2,369,935,284 is: 5,077,909,456.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106,083,773 : 2,369,935,284 = 2,369,935,284 : x
  2. Step 2: Convert to fraction form
    1,106,083,773/2,369,935,284 = 2,369,935,284/x
  3. Step 3: Cross multiply
    1,106,083,773x = 2,369,935,284 × 2,369,935,284
  4. Step 4: Simplify right side
    1,106,083,773x = 5,616,593,250,348,161,024
  5. Step 5: Solve for x
    x = 5,616,593,250,348,161,024/1,106,083,773
  6. Step 6: Final answer
    x = 5,077,909,456.27

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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.