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Finding the Third Proportional to 649,017,282,368 and 1,387,352,562,304

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Solution

The third proportional to 649,017,282,368 and 1,387,352,562,304 is: 2,965,633,095,483.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,017,282,368 : 1,387,352,562,304 = 1,387,352,562,304 : x
  2. Step 2: Convert to fraction form
    649,017,282,368/1,387,352,562,304 = 1,387,352,562,304/x
  3. Step 3: Cross multiply
    649,017,282,368x = 1,387,352,562,304 × 1,387,352,562,304
  4. Step 4: Simplify right side
    649,017,282,368x = 1,924,747,132,131,474,289,983,488
  5. Step 5: Solve for x
    x = 1,924,747,132,131,474,289,983,488/649,017,282,368
  6. Step 6: Final answer
    x = 2,965,633,095,483.77

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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.