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Finding the Third Proportional to 4,335,328.50 and 10,039,330.25

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Solution

The third proportional to 4,335,328.50 and 10,039,330.25 is: 23,248,100.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,335,328.50 : 10,039,330.25 = 10,039,330.25 : x
  2. Step 2: Convert to fraction form
    4,335,328.50/10,039,330.25 = 10,039,330.25/x
  3. Step 3: Cross multiply
    4,335,328.50x = 10,039,330.25 × 10,039,330.25
  4. Step 4: Simplify right side
    4,335,328.50x = 100,788,151,868,565.06
  5. Step 5: Solve for x
    x = 100,788,151,868,565.06/4,335,328.50
  6. Step 6: Final answer
    x = 23,248,100.32

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.