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Finding the Third Proportional to 870,439,762 and 1,911,879,711

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Solution

The third proportional to 870,439,762 and 1,911,879,711 is: 4,199,353,233.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,439,762 : 1,911,879,711 = 1,911,879,711 : x
  2. Step 2: Convert to fraction form
    870,439,762/1,911,879,711 = 1,911,879,711/x
  3. Step 3: Cross multiply
    870,439,762x = 1,911,879,711 × 1,911,879,711
  4. Step 4: Simplify right side
    870,439,762x = 3,655,284,029,333,443,584
  5. Step 5: Solve for x
    x = 3,655,284,029,333,443,584/870,439,762
  6. Step 6: Final answer
    x = 4,199,353,233.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.