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Finding the Third Proportional to 632,822,674 and 1,388,176,944

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Solution

The third proportional to 632,822,674 and 1,388,176,944 is: 3,045,142,513.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,822,674 : 1,388,176,944 = 1,388,176,944 : x
  2. Step 2: Convert to fraction form
    632,822,674/1,388,176,944 = 1,388,176,944/x
  3. Step 3: Cross multiply
    632,822,674x = 1,388,176,944 × 1,388,176,944
  4. Step 4: Simplify right side
    632,822,674x = 1,927,035,227,853,179,136
  5. Step 5: Solve for x
    x = 1,927,035,227,853,179,136/632,822,674
  6. Step 6: Final answer
    x = 3,045,142,513.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.