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Finding the Third Proportional to 625,990,734,984 and 1,355,927,966,692

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Solution

The third proportional to 625,990,734,984 and 1,355,927,966,692 is: 2,937,009,364,690.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,990,734,984 : 1,355,927,966,692 = 1,355,927,966,692 : x
  2. Step 2: Convert to fraction form
    625,990,734,984/1,355,927,966,692 = 1,355,927,966,692/x
  3. Step 3: Cross multiply
    625,990,734,984x = 1,355,927,966,692 × 1,355,927,966,692
  4. Step 4: Simplify right side
    625,990,734,984x = 1,838,540,650,857,501,365,895,168
  5. Step 5: Solve for x
    x = 1,838,540,650,857,501,365,895,168/625,990,734,984
  6. Step 6: Final answer
    x = 2,937,009,364,690.51

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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.