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Finding the Third Proportional to 21,705,583,971 and 47,017,128,009

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Solution

The third proportional to 21,705,583,971 and 47,017,128,009 is: 101,845,236,192.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,705,583,971 : 47,017,128,009 = 47,017,128,009 : x
  2. Step 2: Convert to fraction form
    21,705,583,971/47,017,128,009 = 47,017,128,009/x
  3. Step 3: Cross multiply
    21,705,583,971x = 47,017,128,009 × 47,017,128,009
  4. Step 4: Simplify right side
    21,705,583,971x = 2,210,610,326,214,692,306,944
  5. Step 5: Solve for x
    x = 2,210,610,326,214,692,306,944/21,705,583,971
  6. Step 6: Final answer
    x = 101,845,236,192.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.