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Finding the Third Proportional to 10,657,054 and 23,106,323

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Solution

The third proportional to 10,657,054 and 23,106,323 is: 50,098,475.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,657,054 : 23,106,323 = 23,106,323 : x
  2. Step 2: Convert to fraction form
    10,657,054/23,106,323 = 23,106,323/x
  3. Step 3: Cross multiply
    10,657,054x = 23,106,323 × 23,106,323
  4. Step 4: Simplify right side
    10,657,054x = 533,902,162,580,329
  5. Step 5: Solve for x
    x = 533,902,162,580,329/10,657,054
  6. Step 6: Final answer
    x = 50,098,475.86

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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.