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Finding the Third Proportional to 1,149,989,258 and 1,877,630,467

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Solution

The third proportional to 1,149,989,258 and 1,877,630,467 is: 3,065,677,480.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149,989,258 : 1,877,630,467 = 1,877,630,467 : x
  2. Step 2: Convert to fraction form
    1,149,989,258/1,877,630,467 = 1,877,630,467/x
  3. Step 3: Cross multiply
    1,149,989,258x = 1,877,630,467 × 1,877,630,467
  4. Step 4: Simplify right side
    1,149,989,258x = 3,525,496,170,606,638,080
  5. Step 5: Solve for x
    x = 3,525,496,170,606,638,080/1,149,989,258
  6. Step 6: Final answer
    x = 3,065,677,480.10

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.