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Finding the Third Proportional to 1,886,257,254 and 4,059,168,972

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Solution

The third proportional to 1,886,257,254 and 4,059,168,972 is: 8,735,209,743.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886,257,254 : 4,059,168,972 = 4,059,168,972 : x
  2. Step 2: Convert to fraction form
    1,886,257,254/4,059,168,972 = 4,059,168,972/x
  3. Step 3: Cross multiply
    1,886,257,254x = 4,059,168,972 × 4,059,168,972
  4. Step 4: Simplify right side
    1,886,257,254x = 16,476,852,743,247,536,128
  5. Step 5: Solve for x
    x = 16,476,852,743,247,536,128/1,886,257,254
  6. Step 6: Final answer
    x = 8,735,209,743.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.