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Finding the Third Proportional to 3,078,005,296.50 and 6,458,341,473

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Solution

The third proportional to 3,078,005,296.50 and 6,458,341,473 is: 13,551,040,548.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,078,005,296.50 : 6,458,341,473 = 6,458,341,473 : x
  2. Step 2: Convert to fraction form
    3,078,005,296.50/6,458,341,473 = 6,458,341,473/x
  3. Step 3: Cross multiply
    3,078,005,296.50x = 6,458,341,473 × 6,458,341,473
  4. Step 4: Simplify right side
    3,078,005,296.50x = 41,710,174,581,871,812,608
  5. Step 5: Solve for x
    x = 41,710,174,581,871,812,608/3,078,005,296.50
  6. Step 6: Final answer
    x = 13,551,040,548.66

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.