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Finding the Third Proportional to 7,907,532 and 17,354,712

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Solution

The third proportional to 7,907,532 and 17,354,712 is: 38,088,499.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,907,532 : 17,354,712 = 17,354,712 : x
  2. Step 2: Convert to fraction form
    7,907,532/17,354,712 = 17,354,712/x
  3. Step 3: Cross multiply
    7,907,532x = 17,354,712 × 17,354,712
  4. Step 4: Simplify right side
    7,907,532x = 301,186,028,602,944
  5. Step 5: Solve for x
    x = 301,186,028,602,944/7,907,532
  6. Step 6: Final answer
    x = 38,088,499.50

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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.