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Finding the Third Proportional to 569,852,866.50 and 851,424,772.50

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Solution

The third proportional to 569,852,866.50 and 851,424,772.50 is: 1,272,125,114.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,852,866.50 : 851,424,772.50 = 851,424,772.50 : x
  2. Step 2: Convert to fraction form
    569,852,866.50/851,424,772.50 = 851,424,772.50/x
  3. Step 3: Cross multiply
    569,852,866.50x = 851,424,772.50 × 851,424,772.50
  4. Step 4: Simplify right side
    569,852,866.50x = 724,924,143,226,676,736
  5. Step 5: Solve for x
    x = 724,924,143,226,676,736/569,852,866.50
  6. Step 6: Final answer
    x = 1,272,125,114.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.