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Finding the Third Proportional to 2,210,609,284 and 4,765,574,840

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Solution

The third proportional to 2,210,609,284 and 4,765,574,840 is: 10,273,504,105.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,210,609,284 : 4,765,574,840 = 4,765,574,840 : x
  2. Step 2: Convert to fraction form
    2,210,609,284/4,765,574,840 = 4,765,574,840/x
  3. Step 3: Cross multiply
    2,210,609,284x = 4,765,574,840 × 4,765,574,840
  4. Step 4: Simplify right side
    2,210,609,284x = 22,710,703,555,641,024,512
  5. Step 5: Solve for x
    x = 22,710,703,555,641,024,512/2,210,609,284
  6. Step 6: Final answer
    x = 10,273,504,105.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.