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Finding the Third Proportional to 9,865,499,009 and 23,020,293,185

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Solution

The third proportional to 9,865,499,009 and 23,020,293,185 is: 53,715,873,656.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,865,499,009 : 23,020,293,185 = 23,020,293,185 : x
  2. Step 2: Convert to fraction form
    9,865,499,009/23,020,293,185 = 23,020,293,185/x
  3. Step 3: Cross multiply
    9,865,499,009x = 23,020,293,185 × 23,020,293,185
  4. Step 4: Simplify right side
    9,865,499,009x = 529,933,898,323,357,466,624
  5. Step 5: Solve for x
    x = 529,933,898,323,357,466,624/9,865,499,009
  6. Step 6: Final answer
    x = 53,715,873,656.26

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.