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Finding the Third Proportional to 688,696,845.19 and 1,406,300,484.38

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Solution

The third proportional to 688,696,845.19 and 1,406,300,484.38 is: 2,871,627,866.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,696,845.19 : 1,406,300,484.38 = 1,406,300,484.38 : x
  2. Step 2: Convert to fraction form
    688,696,845.19/1,406,300,484.38 = 1,406,300,484.38/x
  3. Step 3: Cross multiply
    688,696,845.19x = 1,406,300,484.38 × 1,406,300,484.38
  4. Step 4: Simplify right side
    688,696,845.19x = 1,977,681,052,353,359,616
  5. Step 5: Solve for x
    x = 1,977,681,052,353,359,616/688,696,845.19
  6. Step 6: Final answer
    x = 2,871,627,866.71

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.