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Finding the Third Proportional to 4,706,038 and 9,977,138

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Solution

The third proportional to 4,706,038 and 9,977,138 is: 21,152,247.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706,038 : 9,977,138 = 9,977,138 : x
  2. Step 2: Convert to fraction form
    4,706,038/9,977,138 = 9,977,138/x
  3. Step 3: Cross multiply
    4,706,038x = 9,977,138 × 9,977,138
  4. Step 4: Simplify right side
    4,706,038x = 99,543,282,671,044
  5. Step 5: Solve for x
    x = 99,543,282,671,044/4,706,038
  6. Step 6: Final answer
    x = 21,152,247.96

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.