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Finding the Third Proportional to 14,191,701.50 and 31,070,130.50

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Solution

The third proportional to 14,191,701.50 and 31,070,130.50 is: 68,022,358.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,191,701.50 : 31,070,130.50 = 31,070,130.50 : x
  2. Step 2: Convert to fraction form
    14,191,701.50/31,070,130.50 = 31,070,130.50/x
  3. Step 3: Cross multiply
    14,191,701.50x = 31,070,130.50 × 31,070,130.50
  4. Step 4: Simplify right side
    14,191,701.50x = 965,353,009,287,030.25
  5. Step 5: Solve for x
    x = 965,353,009,287,030.25/14,191,701.50
  6. Step 6: Final answer
    x = 68,022,358.65

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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.