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Finding the Third Proportional to 410,417,202,526 and 882,600,782,756

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Solution

The third proportional to 410,417,202,526 and 882,600,782,756 is: 1,898,029,948,372.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,417,202,526 : 882,600,782,756 = 882,600,782,756 : x
  2. Step 2: Convert to fraction form
    410,417,202,526/882,600,782,756 = 882,600,782,756/x
  3. Step 3: Cross multiply
    410,417,202,526x = 882,600,782,756 × 882,600,782,756
  4. Step 4: Simplify right side
    410,417,202,526x = 778,984,141,721,503,973,507,072
  5. Step 5: Solve for x
    x = 778,984,141,721,503,973,507,072/410,417,202,526
  6. Step 6: Final answer
    x = 1,898,029,948,372.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.