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Finding the Third Proportional to 986,913,423 and 2,167,513,371

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Solution

The third proportional to 986,913,423 and 2,167,513,371 is: 4,760,411,707.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,913,423 : 2,167,513,371 = 2,167,513,371 : x
  2. Step 2: Convert to fraction form
    986,913,423/2,167,513,371 = 2,167,513,371/x
  3. Step 3: Cross multiply
    986,913,423x = 2,167,513,371 × 2,167,513,371
  4. Step 4: Simplify right side
    986,913,423x = 4,698,114,213,463,783,424
  5. Step 5: Solve for x
    x = 4,698,114,213,463,783,424/986,913,423
  6. Step 6: Final answer
    x = 4,760,411,707.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.