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Finding the Third Proportional to 1,149,992,678 and 1,877,635,784

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Solution

The third proportional to 1,149,992,678 and 1,877,635,784 is: 3,065,685,725.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149,992,678 : 1,877,635,784 = 1,877,635,784 : x
  2. Step 2: Convert to fraction form
    1,149,992,678/1,877,635,784 = 1,877,635,784/x
  3. Step 3: Cross multiply
    1,149,992,678x = 1,877,635,784 × 1,877,635,784
  4. Step 4: Simplify right side
    1,149,992,678x = 3,525,516,137,357,294,592
  5. Step 5: Solve for x
    x = 3,525,516,137,357,294,592/1,149,992,678
  6. Step 6: Final answer
    x = 3,065,685,725.49

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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.