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Finding the Third Proportional to 10,105,587 and 15,533,176.50

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Solution

The third proportional to 10,105,587 and 15,533,176.50 is: 23,875,859.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,105,587 : 15,533,176.50 = 15,533,176.50 : x
  2. Step 2: Convert to fraction form
    10,105,587/15,533,176.50 = 15,533,176.50/x
  3. Step 3: Cross multiply
    10,105,587x = 15,533,176.50 × 15,533,176.50
  4. Step 4: Simplify right side
    10,105,587x = 241,279,572,180,152.25
  5. Step 5: Solve for x
    x = 241,279,572,180,152.25/10,105,587
  6. Step 6: Final answer
    x = 23,875,859.18

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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.