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Finding the Third Proportional to 2,406,024,960 and 3,828,458,640

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Solution

The third proportional to 2,406,024,960 and 3,828,458,640 is: 6,091,830,218.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406,024,960 : 3,828,458,640 = 3,828,458,640 : x
  2. Step 2: Convert to fraction form
    2,406,024,960/3,828,458,640 = 3,828,458,640/x
  3. Step 3: Cross multiply
    2,406,024,960x = 3,828,458,640 × 3,828,458,640
  4. Step 4: Simplify right side
    2,406,024,960x = 14,657,095,558,190,649,344
  5. Step 5: Solve for x
    x = 14,657,095,558,190,649,344/2,406,024,960
  6. Step 6: Final answer
    x = 6,091,830,218.67

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.