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Finding the Third Proportional to 555,684,824.81 and 1,097,315,987.63

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Solution

The third proportional to 555,684,824.81 and 1,097,315,987.63 is: 2,166,880,078.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,684,824.81 : 1,097,315,987.63 = 1,097,315,987.63 : x
  2. Step 2: Convert to fraction form
    555,684,824.81/1,097,315,987.63 = 1,097,315,987.63/x
  3. Step 3: Cross multiply
    555,684,824.81x = 1,097,315,987.63 × 1,097,315,987.63
  4. Step 4: Simplify right side
    555,684,824.81x = 1,204,102,376,697,429,248
  5. Step 5: Solve for x
    x = 1,204,102,376,697,429,248/555,684,824.81
  6. Step 6: Final answer
    x = 2,166,880,078.30

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.