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Finding the Third Proportional to 615,831,482 and 1,340,074,012

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Solution

The third proportional to 615,831,482 and 1,340,074,012 is: 2,916,054,813.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,831,482 : 1,340,074,012 = 1,340,074,012 : x
  2. Step 2: Convert to fraction form
    615,831,482/1,340,074,012 = 1,340,074,012/x
  3. Step 3: Cross multiply
    615,831,482x = 1,340,074,012 × 1,340,074,012
  4. Step 4: Simplify right side
    615,831,482x = 1,795,798,357,637,776,128
  5. Step 5: Solve for x
    x = 1,795,798,357,637,776,128/615,831,482
  6. Step 6: Final answer
    x = 2,916,054,813.90

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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.