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Finding the Third Proportional to 870,812,886 and 1,880,155,212

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Solution

The third proportional to 870,812,886 and 1,880,155,212 is: 4,059,406,651.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,812,886 : 1,880,155,212 = 1,880,155,212 : x
  2. Step 2: Convert to fraction form
    870,812,886/1,880,155,212 = 1,880,155,212/x
  3. Step 3: Cross multiply
    870,812,886x = 1,880,155,212 × 1,880,155,212
  4. Step 4: Simplify right side
    870,812,886x = 3,534,983,621,210,764,800
  5. Step 5: Solve for x
    x = 3,534,983,621,210,764,800/870,812,886
  6. Step 6: Final answer
    x = 4,059,406,651.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.