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Finding the Third Proportional to 4,302,878,778 and 6,331,274,901

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Solution

The third proportional to 4,302,878,778 and 6,331,274,901 is: 9,315,865,944.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,302,878,778 : 6,331,274,901 = 6,331,274,901 : x
  2. Step 2: Convert to fraction form
    4,302,878,778/6,331,274,901 = 6,331,274,901/x
  3. Step 3: Cross multiply
    4,302,878,778x = 6,331,274,901 × 6,331,274,901
  4. Step 4: Simplify right side
    4,302,878,778x = 40,085,041,872,032,563,200
  5. Step 5: Solve for x
    x = 40,085,041,872,032,563,200/4,302,878,778
  6. Step 6: Final answer
    x = 9,315,865,944.67

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.