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Finding the Third Proportional to 13,038,098 and 28,343,224

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Solution

The third proportional to 13,038,098 and 28,343,224 is: 61,614,688.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,038,098 : 28,343,224 = 28,343,224 : x
  2. Step 2: Convert to fraction form
    13,038,098/28,343,224 = 28,343,224/x
  3. Step 3: Cross multiply
    13,038,098x = 28,343,224 × 28,343,224
  4. Step 4: Simplify right side
    13,038,098x = 803,338,346,714,176
  5. Step 5: Solve for x
    x = 803,338,346,714,176/13,038,098
  6. Step 6: Final answer
    x = 61,614,688.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.