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Finding the Third Proportional to 452,733,075 and 970,006,707

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Solution

The third proportional to 452,733,075 and 970,006,707 is: 2,078,295,277.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,733,075 : 970,006,707 = 970,006,707 : x
  2. Step 2: Convert to fraction form
    452,733,075/970,006,707 = 970,006,707/x
  3. Step 3: Cross multiply
    452,733,075x = 970,006,707 × 970,006,707
  4. Step 4: Simplify right side
    452,733,075x = 940,913,011,624,983,808
  5. Step 5: Solve for x
    x = 940,913,011,624,983,808/452,733,075
  6. Step 6: Final answer
    x = 2,078,295,277.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.