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Finding the Third Proportional to 615,831,480 and 1,340,074,008

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Solution

The third proportional to 615,831,480 and 1,340,074,008 is: 2,916,054,805.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,831,480 : 1,340,074,008 = 1,340,074,008 : x
  2. Step 2: Convert to fraction form
    615,831,480/1,340,074,008 = 1,340,074,008/x
  3. Step 3: Cross multiply
    615,831,480x = 1,340,074,008 × 1,340,074,008
  4. Step 4: Simplify right side
    615,831,480x = 1,795,798,346,917,184,000
  5. Step 5: Solve for x
    x = 1,795,798,346,917,184,000/615,831,480
  6. Step 6: Final answer
    x = 2,916,054,805.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.