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Finding the Third Proportional to 307,051,886 and 471,718,407

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Solution

The third proportional to 307,051,886 and 471,718,407 is: 724,692,684.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,051,886 : 471,718,407 = 471,718,407 : x
  2. Step 2: Convert to fraction form
    307,051,886/471,718,407 = 471,718,407/x
  3. Step 3: Cross multiply
    307,051,886x = 471,718,407 × 471,718,407
  4. Step 4: Simplify right side
    307,051,886x = 222,518,255,502,617,664
  5. Step 5: Solve for x
    x = 222,518,255,502,617,664/307,051,886
  6. Step 6: Final answer
    x = 724,692,684.36

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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.