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Finding the Third Proportional to 569,852,871 and 851,424,778

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Solution

The third proportional to 569,852,871 and 851,424,778 is: 1,272,125,121.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,852,871 : 851,424,778 = 851,424,778 : x
  2. Step 2: Convert to fraction form
    569,852,871/851,424,778 = 851,424,778/x
  3. Step 3: Cross multiply
    569,852,871x = 851,424,778 × 851,424,778
  4. Step 4: Simplify right side
    569,852,871x = 724,924,152,592,349,312
  5. Step 5: Solve for x
    x = 724,924,152,592,349,312/569,852,871
  6. Step 6: Final answer
    x = 1,272,125,121.21

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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.