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Finding the Third Proportional to 966,751,232 and 1,477,873,363

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Solution

The third proportional to 966,751,232 and 1,477,873,363 is: 2,259,226,163.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,751,232 : 1,477,873,363 = 1,477,873,363 : x
  2. Step 2: Convert to fraction form
    966,751,232/1,477,873,363 = 1,477,873,363/x
  3. Step 3: Cross multiply
    966,751,232x = 1,477,873,363 × 1,477,873,363
  4. Step 4: Simplify right side
    966,751,232x = 2,184,109,677,064,929,792
  5. Step 5: Solve for x
    x = 2,184,109,677,064,929,792/966,751,232
  6. Step 6: Final answer
    x = 2,259,226,163.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.