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Finding the Third Proportional to 649,017,282,370 and 1,387,352,562,308

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Solution

The third proportional to 649,017,282,370 and 1,387,352,562,308 is: 2,965,633,095,491.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,017,282,370 : 1,387,352,562,308 = 1,387,352,562,308 : x
  2. Step 2: Convert to fraction form
    649,017,282,370/1,387,352,562,308 = 1,387,352,562,308/x
  3. Step 3: Cross multiply
    649,017,282,370x = 1,387,352,562,308 × 1,387,352,562,308
  4. Step 4: Simplify right side
    649,017,282,370x = 1,924,747,132,142,573,022,347,264
  5. Step 5: Solve for x
    x = 1,924,747,132,142,573,022,347,264/649,017,282,370
  6. Step 6: Final answer
    x = 2,965,633,095,491.73

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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.