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Finding the Third Proportional to 718,771,617 and 1,104,121,129.50

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Solution

The third proportional to 718,771,617 and 1,104,121,129.50 is: 1,696,065,119.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    718,771,617 : 1,104,121,129.50 = 1,104,121,129.50 : x
  2. Step 2: Convert to fraction form
    718,771,617/1,104,121,129.50 = 1,104,121,129.50/x
  3. Step 3: Cross multiply
    718,771,617x = 1,104,121,129.50 × 1,104,121,129.50
  4. Step 4: Simplify right side
    718,771,617x = 1,219,083,468,608,355,840
  5. Step 5: Solve for x
    x = 1,219,083,468,608,355,840/718,771,617
  6. Step 6: Final answer
    x = 1,696,065,119.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.