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Finding the Third Proportional to 314,918,966 and 443,282,052

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Solution

The third proportional to 314,918,966 and 443,282,052 is: 623,966,794.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,918,966 : 443,282,052 = 443,282,052 : x
  2. Step 2: Convert to fraction form
    314,918,966/443,282,052 = 443,282,052/x
  3. Step 3: Cross multiply
    314,918,966x = 443,282,052 × 443,282,052
  4. Step 4: Simplify right side
    314,918,966x = 196,498,977,625,330,688
  5. Step 5: Solve for x
    x = 196,498,977,625,330,688/314,918,966
  6. Step 6: Final answer
    x = 623,966,794.13

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.