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Finding the Third Proportional to 649,017,282,372 and 1,387,352,562,312

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Solution

The third proportional to 649,017,282,372 and 1,387,352,562,312 is: 2,965,633,095,499.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,017,282,372 : 1,387,352,562,312 = 1,387,352,562,312 : x
  2. Step 2: Convert to fraction form
    649,017,282,372/1,387,352,562,312 = 1,387,352,562,312/x
  3. Step 3: Cross multiply
    649,017,282,372x = 1,387,352,562,312 × 1,387,352,562,312
  4. Step 4: Simplify right side
    649,017,282,372x = 1,924,747,132,153,671,754,711,040
  5. Step 5: Solve for x
    x = 1,924,747,132,153,671,754,711,040/649,017,282,372
  6. Step 6: Final answer
    x = 2,965,633,095,499.69

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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.