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Finding the Third Proportional to 642,937,203 and 1,363,130,370

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Solution

The third proportional to 642,937,203 and 1,363,130,370 is: 2,890,055,820.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,937,203 : 1,363,130,370 = 1,363,130,370 : x
  2. Step 2: Convert to fraction form
    642,937,203/1,363,130,370 = 1,363,130,370/x
  3. Step 3: Cross multiply
    642,937,203x = 1,363,130,370 × 1,363,130,370
  4. Step 4: Simplify right side
    642,937,203x = 1,858,124,405,616,336,896
  5. Step 5: Solve for x
    x = 1,858,124,405,616,336,896/642,937,203
  6. Step 6: Final answer
    x = 2,890,055,820.30

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.