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Finding the Third Proportional to 1,051,029,711 and 1,478,202,967.50

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Solution

The third proportional to 1,051,029,711 and 1,478,202,967.50 is: 2,078,993,571.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051,029,711 : 1,478,202,967.50 = 1,478,202,967.50 : x
  2. Step 2: Convert to fraction form
    1,051,029,711/1,478,202,967.50 = 1,478,202,967.50/x
  3. Step 3: Cross multiply
    1,051,029,711x = 1,478,202,967.50 × 1,478,202,967.50
  4. Step 4: Simplify right side
    1,051,029,711x = 2,185,084,013,125,806,080
  5. Step 5: Solve for x
    x = 2,185,084,013,125,806,080/1,051,029,711
  6. Step 6: Final answer
    x = 2,078,993,571.98

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.