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Finding the Third Proportional to 625,990,734,949 and 1,355,927,966,620

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Solution

The third proportional to 625,990,734,949 and 1,355,927,966,620 is: 2,937,009,364,542.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,990,734,949 : 1,355,927,966,620 = 1,355,927,966,620 : x
  2. Step 2: Convert to fraction form
    625,990,734,949/1,355,927,966,620 = 1,355,927,966,620/x
  3. Step 3: Cross multiply
    625,990,734,949x = 1,355,927,966,620 × 1,355,927,966,620
  4. Step 4: Simplify right side
    625,990,734,949x = 1,838,540,650,662,247,857,651,712
  5. Step 5: Solve for x
    x = 1,838,540,650,662,247,857,651,712/625,990,734,949
  6. Step 6: Final answer
    x = 2,937,009,364,542.81

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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.