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Finding the Third Proportional to 623,123,100 and 986,699,583

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Solution

The third proportional to 623,123,100 and 986,699,583 is: 1,562,413,698.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,123,100 : 986,699,583 = 986,699,583 : x
  2. Step 2: Convert to fraction form
    623,123,100/986,699,583 = 986,699,583/x
  3. Step 3: Cross multiply
    623,123,100x = 986,699,583 × 986,699,583
  4. Step 4: Simplify right side
    623,123,100x = 973,576,067,092,373,888
  5. Step 5: Solve for x
    x = 973,576,067,092,373,888/623,123,100
  6. Step 6: Final answer
    x = 1,562,413,698.18

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.