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Finding the Third Proportional to 35,829,917.50 and 78,366,130.50

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Solution

The third proportional to 35,829,917.50 and 78,366,130.50 is: 171,400,071.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,829,917.50 : 78,366,130.50 = 78,366,130.50 : x
  2. Step 2: Convert to fraction form
    35,829,917.50/78,366,130.50 = 78,366,130.50/x
  3. Step 3: Cross multiply
    35,829,917.50x = 78,366,130.50 × 78,366,130.50
  4. Step 4: Simplify right side
    35,829,917.50x = 6,141,250,409,543,030
  5. Step 5: Solve for x
    x = 6,141,250,409,543,030/35,829,917.50
  6. Step 6: Final answer
    x = 171,400,071.17

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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.