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Finding the Third Proportional to 362,142,117 and 574,379,821.50

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Solution

The third proportional to 362,142,117 and 574,379,821.50 is: 911,001,962.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,142,117 : 574,379,821.50 = 574,379,821.50 : x
  2. Step 2: Convert to fraction form
    362,142,117/574,379,821.50 = 574,379,821.50/x
  3. Step 3: Cross multiply
    362,142,117x = 574,379,821.50 × 574,379,821.50
  4. Step 4: Simplify right side
    362,142,117x = 329,912,179,346,371,840
  5. Step 5: Solve for x
    x = 329,912,179,346,371,840/362,142,117
  6. Step 6: Final answer
    x = 911,001,962.65

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.