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Finding the Third Proportional to 370,161,017 and 804,042,466.50

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Solution

The third proportional to 370,161,017 and 804,042,466.50 is: 1,746,494,790.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,161,017 : 804,042,466.50 = 804,042,466.50 : x
  2. Step 2: Convert to fraction form
    370,161,017/804,042,466.50 = 804,042,466.50/x
  3. Step 3: Cross multiply
    370,161,017x = 804,042,466.50 × 804,042,466.50
  4. Step 4: Simplify right side
    370,161,017x = 646,484,287,935,403,648
  5. Step 5: Solve for x
    x = 646,484,287,935,403,648/370,161,017
  6. Step 6: Final answer
    x = 1,746,494,790.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.