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Finding the Third Proportional to 1,149,989,256 and 1,877,630,464

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Solution

The third proportional to 1,149,989,256 and 1,877,630,464 is: 3,065,677,475.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149,989,256 : 1,877,630,464 = 1,877,630,464 : x
  2. Step 2: Convert to fraction form
    1,149,989,256/1,877,630,464 = 1,877,630,464/x
  3. Step 3: Cross multiply
    1,149,989,256x = 1,877,630,464 × 1,877,630,464
  4. Step 4: Simplify right side
    1,149,989,256x = 3,525,496,159,340,855,296
  5. Step 5: Solve for x
    x = 3,525,496,159,340,855,296/1,149,989,256
  6. Step 6: Final answer
    x = 3,065,677,475.63

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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.