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Finding the Third Proportional to 1,342,184,292 and 2,870,905,104

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Solution

The third proportional to 1,342,184,292 and 2,870,905,104 is: 6,140,808,058.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342,184,292 : 2,870,905,104 = 2,870,905,104 : x
  2. Step 2: Convert to fraction form
    1,342,184,292/2,870,905,104 = 2,870,905,104/x
  3. Step 3: Cross multiply
    1,342,184,292x = 2,870,905,104 × 2,870,905,104
  4. Step 4: Simplify right side
    1,342,184,292x = 8,242,096,116,173,250,560
  5. Step 5: Solve for x
    x = 8,242,096,116,173,250,560/1,342,184,292
  6. Step 6: Final answer
    x = 6,140,808,058.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.