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Finding the Third Proportional to 4,155,792,900 and 6,440,334,776

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Solution

The third proportional to 4,155,792,900 and 6,440,334,776 is: 9,980,745,678.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,155,792,900 : 6,440,334,776 = 6,440,334,776 : x
  2. Step 2: Convert to fraction form
    4,155,792,900/6,440,334,776 = 6,440,334,776/x
  3. Step 3: Cross multiply
    4,155,792,900x = 6,440,334,776 × 6,440,334,776
  4. Step 4: Simplify right side
    4,155,792,900x = 41,477,912,026,954,973,184
  5. Step 5: Solve for x
    x = 41,477,912,026,954,973,184/4,155,792,900
  6. Step 6: Final answer
    x = 9,980,745,678.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.