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Finding the Third Proportional to 272,897,913 and 445,570,636.50

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Solution

The third proportional to 272,897,913 and 445,570,636.50 is: 727,499,854.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,897,913 : 445,570,636.50 = 445,570,636.50 : x
  2. Step 2: Convert to fraction form
    272,897,913/445,570,636.50 = 445,570,636.50/x
  3. Step 3: Cross multiply
    272,897,913x = 445,570,636.50 × 445,570,636.50
  4. Step 4: Simplify right side
    272,897,913x = 198,533,192,111,015,136
  5. Step 5: Solve for x
    x = 198,533,192,111,015,136/272,897,913
  6. Step 6: Final answer
    x = 727,499,854.90

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.