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Finding the Third Proportional to 6,530,205 and 15,249,097.88

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Solution

The third proportional to 6,530,205 and 15,249,097.88 is: 35,609,140.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,530,205 : 15,249,097.88 = 15,249,097.88 : x
  2. Step 2: Convert to fraction form
    6,530,205/15,249,097.88 = 15,249,097.88/x
  3. Step 3: Cross multiply
    6,530,205x = 15,249,097.88 × 15,249,097.88
  4. Step 4: Simplify right side
    6,530,205x = 232,534,986,001,329.50
  5. Step 5: Solve for x
    x = 232,534,986,001,329.50/6,530,205
  6. Step 6: Final answer
    x = 35,609,140.30

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.