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Finding the Third Proportional to 10,661,164 and 23,024,564

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Solution

The third proportional to 10,661,164 and 23,024,564 is: 49,725,390.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,661,164 : 23,024,564 = 23,024,564 : x
  2. Step 2: Convert to fraction form
    10,661,164/23,024,564 = 23,024,564/x
  3. Step 3: Cross multiply
    10,661,164x = 23,024,564 × 23,024,564
  4. Step 4: Simplify right side
    10,661,164x = 530,130,547,390,096
  5. Step 5: Solve for x
    x = 530,130,547,390,096/10,661,164
  6. Step 6: Final answer
    x = 49,725,390.90

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.