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Finding the Third Proportional to 13,771,485 and 21,249,742.50

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Solution

The third proportional to 13,771,485 and 21,249,742.50 is: 32,788,879.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,771,485 : 21,249,742.50 = 21,249,742.50 : x
  2. Step 2: Convert to fraction form
    13,771,485/21,249,742.50 = 21,249,742.50/x
  3. Step 3: Cross multiply
    13,771,485x = 21,249,742.50 × 21,249,742.50
  4. Step 4: Simplify right side
    13,771,485x = 451,551,556,316,306.25
  5. Step 5: Solve for x
    x = 451,551,556,316,306.25/13,771,485
  6. Step 6: Final answer
    x = 32,788,879.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.