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Finding the Third Proportional to 318,574,538 and 695,056,461

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Solution

The third proportional to 318,574,538 and 695,056,461 is: 1,516,453,533.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,574,538 : 695,056,461 = 695,056,461 : x
  2. Step 2: Convert to fraction form
    318,574,538/695,056,461 = 695,056,461/x
  3. Step 3: Cross multiply
    318,574,538x = 695,056,461 × 695,056,461
  4. Step 4: Simplify right side
    318,574,538x = 483,103,483,977,844,544
  5. Step 5: Solve for x
    x = 483,103,483,977,844,544/318,574,538
  6. Step 6: Final answer
    x = 1,516,453,533.95

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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.