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Finding the Third Proportional to 4,335,738,765 and 6,899,012,724

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Solution

The third proportional to 4,335,738,765 and 6,899,012,724 is: 10,977,685,498.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,335,738,765 : 6,899,012,724 = 6,899,012,724 : x
  2. Step 2: Convert to fraction form
    4,335,738,765/6,899,012,724 = 6,899,012,724/x
  3. Step 3: Cross multiply
    4,335,738,765x = 6,899,012,724 × 6,899,012,724
  4. Step 4: Simplify right side
    4,335,738,765x = 47,596,376,565,913,903,104
  5. Step 5: Solve for x
    x = 47,596,376,565,913,903,104/4,335,738,765
  6. Step 6: Final answer
    x = 10,977,685,498.52

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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.