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Finding the Third Proportional to 742,888,516 and 1,116,204,774

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Solution

The third proportional to 742,888,516 and 1,116,204,774 is: 1,677,119,878.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,888,516 : 1,116,204,774 = 1,116,204,774 : x
  2. Step 2: Convert to fraction form
    742,888,516/1,116,204,774 = 1,116,204,774/x
  3. Step 3: Cross multiply
    742,888,516x = 1,116,204,774 × 1,116,204,774
  4. Step 4: Simplify right side
    742,888,516x = 1,245,913,097,500,391,168
  5. Step 5: Solve for x
    x = 1,245,913,097,500,391,168/742,888,516
  6. Step 6: Final answer
    x = 1,677,119,878.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.