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Finding the Third Proportional to 625,990,734,972 and 1,355,927,966,668

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Solution

The third proportional to 625,990,734,972 and 1,355,927,966,668 is: 2,937,009,364,642.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,990,734,972 : 1,355,927,966,668 = 1,355,927,966,668 : x
  2. Step 2: Convert to fraction form
    625,990,734,972/1,355,927,966,668 = 1,355,927,966,668/x
  3. Step 3: Cross multiply
    625,990,734,972x = 1,355,927,966,668 × 1,355,927,966,668
  4. Step 4: Simplify right side
    625,990,734,972x = 1,838,540,650,792,417,042,104,320
  5. Step 5: Solve for x
    x = 1,838,540,650,792,417,042,104,320/625,990,734,972
  6. Step 6: Final answer
    x = 2,937,009,364,642.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.