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Finding the Third Proportional to 282,831,132 and 608,887,572

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Solution

The third proportional to 282,831,132 and 608,887,572 is: 1,310,831,918.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,831,132 : 608,887,572 = 608,887,572 : x
  2. Step 2: Convert to fraction form
    282,831,132/608,887,572 = 608,887,572/x
  3. Step 3: Cross multiply
    282,831,132x = 608,887,572 × 608,887,572
  4. Step 4: Simplify right side
    282,831,132x = 370,744,075,336,055,168
  5. Step 5: Solve for x
    x = 370,744,075,336,055,168/282,831,132
  6. Step 6: Final answer
    x = 1,310,831,918.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.