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Finding the Third Proportional to 1,106,083,752 and 2,369,935,242

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Solution

The third proportional to 1,106,083,752 and 2,369,935,242 is: 5,077,909,372.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106,083,752 : 2,369,935,242 = 2,369,935,242 : x
  2. Step 2: Convert to fraction form
    1,106,083,752/2,369,935,242 = 2,369,935,242/x
  3. Step 3: Cross multiply
    1,106,083,752x = 2,369,935,242 × 2,369,935,242
  4. Step 4: Simplify right side
    1,106,083,752x = 5,616,593,051,273,598,976
  5. Step 5: Solve for x
    x = 5,616,593,051,273,598,976/1,106,083,752
  6. Step 6: Final answer
    x = 5,077,909,372.70

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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.