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Finding the Third Proportional to 859,073,078,880 and 1,292,196,247,776

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Solution

The third proportional to 859,073,078,880 and 1,292,196,247,776 is: 1,943,689,290,023.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    859,073,078,880 : 1,292,196,247,776 = 1,292,196,247,776 : x
  2. Step 2: Convert to fraction form
    859,073,078,880/1,292,196,247,776 = 1,292,196,247,776/x
  3. Step 3: Cross multiply
    859,073,078,880x = 1,292,196,247,776 × 1,292,196,247,776
  4. Step 4: Simplify right side
    859,073,078,880x = 1,669,771,142,766,373,539,676,160
  5. Step 5: Solve for x
    x = 1,669,771,142,766,373,539,676,160/859,073,078,880
  6. Step 6: Final answer
    x = 1,943,689,290,023.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.