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Finding the Third Proportional to 10,432,874.25 and 22,301,528.06

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Solution

The third proportional to 10,432,874.25 and 22,301,528.06 is: 47,672,208.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,432,874.25 : 22,301,528.06 = 22,301,528.06 : x
  2. Step 2: Convert to fraction form
    10,432,874.25/22,301,528.06 = 22,301,528.06/x
  3. Step 3: Cross multiply
    10,432,874.25x = 22,301,528.06 × 22,301,528.06
  4. Step 4: Simplify right side
    10,432,874.25x = 497,358,153,922,475
  5. Step 5: Solve for x
    x = 497,358,153,922,475/10,432,874.25
  6. Step 6: Final answer
    x = 47,672,208.25

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.