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Finding the Third Proportional to 353,144,726 and 824,843,012

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Solution

The third proportional to 353,144,726 and 824,843,012 is: 1,926,592,539.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,144,726 : 824,843,012 = 824,843,012 : x
  2. Step 2: Convert to fraction form
    353,144,726/824,843,012 = 824,843,012/x
  3. Step 3: Cross multiply
    353,144,726x = 824,843,012 × 824,843,012
  4. Step 4: Simplify right side
    353,144,726x = 680,365,994,445,232,128
  5. Step 5: Solve for x
    x = 680,365,994,445,232,128/353,144,726
  6. Step 6: Final answer
    x = 1,926,592,539.41

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.