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Finding the Third Proportional to 10,506,102 and 23,005,108

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Solution

The third proportional to 10,506,102 and 23,005,108 is: 50,374,058.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,506,102 : 23,005,108 = 23,005,108 : x
  2. Step 2: Convert to fraction form
    10,506,102/23,005,108 = 23,005,108/x
  3. Step 3: Cross multiply
    10,506,102x = 23,005,108 × 23,005,108
  4. Step 4: Simplify right side
    10,506,102x = 529,234,994,091,664
  5. Step 5: Solve for x
    x = 529,234,994,091,664/10,506,102
  6. Step 6: Final answer
    x = 50,374,058.25

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.