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Finding the Third Proportional to 7,035,217 and 15,417,139

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Solution

The third proportional to 7,035,217 and 15,417,139 is: 33,785,478.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,035,217 : 15,417,139 = 15,417,139 : x
  2. Step 2: Convert to fraction form
    7,035,217/15,417,139 = 15,417,139/x
  3. Step 3: Cross multiply
    7,035,217x = 15,417,139 × 15,417,139
  4. Step 4: Simplify right side
    7,035,217x = 237,688,174,945,321
  5. Step 5: Solve for x
    x = 237,688,174,945,321/7,035,217
  6. Step 6: Final answer
    x = 33,785,478.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.