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Finding the Third Proportional to 210,544,374 and 469,499,625

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Solution

The third proportional to 210,544,374 and 469,499,625 is: 1,046,952,211.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,544,374 : 469,499,625 = 469,499,625 : x
  2. Step 2: Convert to fraction form
    210,544,374/469,499,625 = 469,499,625/x
  3. Step 3: Cross multiply
    210,544,374x = 469,499,625 × 469,499,625
  4. Step 4: Simplify right side
    210,544,374x = 220,429,897,875,140,640
  5. Step 5: Solve for x
    x = 220,429,897,875,140,640/210,544,374
  6. Step 6: Final answer
    x = 1,046,952,211.01

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.