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Finding the Third Proportional to 364,028,101.50 and 786,235,459.50

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Solution

The third proportional to 364,028,101.50 and 786,235,459.50 is: 1,698,127,686.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,028,101.50 : 786,235,459.50 = 786,235,459.50 : x
  2. Step 2: Convert to fraction form
    364,028,101.50/786,235,459.50 = 786,235,459.50/x
  3. Step 3: Cross multiply
    364,028,101.50x = 786,235,459.50 × 786,235,459.50
  4. Step 4: Simplify right side
    364,028,101.50x = 618,166,197,775,176,192
  5. Step 5: Solve for x
    x = 618,166,197,775,176,192/364,028,101.50
  6. Step 6: Final answer
    x = 1,698,127,686.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.