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Finding the Third Proportional to 1,043,060,674 and 2,210,478,543

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Solution

The third proportional to 1,043,060,674 and 2,210,478,543 is: 4,684,497,758.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043,060,674 : 2,210,478,543 = 2,210,478,543 : x
  2. Step 2: Convert to fraction form
    1,043,060,674/2,210,478,543 = 2,210,478,543/x
  3. Step 3: Cross multiply
    1,043,060,674x = 2,210,478,543 × 2,210,478,543
  4. Step 4: Simplify right side
    1,043,060,674x = 4,886,215,389,063,402,496
  5. Step 5: Solve for x
    x = 4,886,215,389,063,402,496/1,043,060,674
  6. Step 6: Final answer
    x = 4,684,497,758.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.