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Finding the Third Proportional to 870,860,301,840 and 1,210,861,640,081.20

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Solution

The third proportional to 870,860,301,840 and 1,210,861,640,081.20 is: 1,683,606,323,910.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,860,301,840 : 1,210,861,640,081.20 = 1,210,861,640,081.20 : x
  2. Step 2: Convert to fraction form
    870,860,301,840/1,210,861,640,081.20 = 1,210,861,640,081.20/x
  3. Step 3: Cross multiply
    870,860,301,840x = 1,210,861,640,081.20 × 1,210,861,640,081.20
  4. Step 4: Simplify right side
    870,860,301,840x = 1,466,185,911,420,133,333,532,672
  5. Step 5: Solve for x
    x = 1,466,185,911,420,133,333,532,672/870,860,301,840
  6. Step 6: Final answer
    x = 1,683,606,323,910.16

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.