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Finding the Third Proportional to 833,072,445 and 1,735,097,796

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Solution

The third proportional to 833,072,445 and 1,735,097,796 is: 3,613,808,594.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    833,072,445 : 1,735,097,796 = 1,735,097,796 : x
  2. Step 2: Convert to fraction form
    833,072,445/1,735,097,796 = 1,735,097,796/x
  3. Step 3: Cross multiply
    833,072,445x = 1,735,097,796 × 1,735,097,796
  4. Step 4: Simplify right side
    833,072,445x = 3,010,564,361,684,057,600
  5. Step 5: Solve for x
    x = 3,010,564,361,684,057,600/833,072,445
  6. Step 6: Final answer
    x = 3,613,808,594.62

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.