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Finding the Third Proportional to 3,617,604,196.50 and 7,836,201,717

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Solution

The third proportional to 3,617,604,196.50 and 7,836,201,717 is: 16,974,233,225.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,617,604,196.50 : 7,836,201,717 = 7,836,201,717 : x
  2. Step 2: Convert to fraction form
    3,617,604,196.50/7,836,201,717 = 7,836,201,717/x
  3. Step 3: Cross multiply
    3,617,604,196.50x = 7,836,201,717 × 7,836,201,717
  4. Step 4: Simplify right side
    3,617,604,196.50x = 61,406,057,349,513,748,480
  5. Step 5: Solve for x
    x = 61,406,057,349,513,748,480/3,617,604,196.50
  6. Step 6: Final answer
    x = 16,974,233,225.66

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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.