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Finding the Third Proportional to 10,506,098 and 23,005,099

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Solution

The third proportional to 10,506,098 and 23,005,099 is: 50,374,038.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,506,098 : 23,005,099 = 23,005,099 : x
  2. Step 2: Convert to fraction form
    10,506,098/23,005,099 = 23,005,099/x
  3. Step 3: Cross multiply
    10,506,098x = 23,005,099 × 23,005,099
  4. Step 4: Simplify right side
    10,506,098x = 529,234,579,999,801
  5. Step 5: Solve for x
    x = 529,234,579,999,801/10,506,098
  6. Step 6: Final answer
    x = 50,374,038.01

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Why These Related Problems?

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