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Finding the Third Proportional to 3,549,567.88 and 7,666,646.23

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Solution

The third proportional to 3,549,567.88 and 7,666,646.23 is: 16,559,047.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,549,567.88 : 7,666,646.23 = 7,666,646.23 : x
  2. Step 2: Convert to fraction form
    3,549,567.88/7,666,646.23 = 7,666,646.23/x
  3. Step 3: Cross multiply
    3,549,567.88x = 7,666,646.23 × 7,666,646.23
  4. Step 4: Simplify right side
    3,549,567.88x = 58,777,464,458,730.10
  5. Step 5: Solve for x
    x = 58,777,464,458,730.10/3,549,567.88
  6. Step 6: Final answer
    x = 16,559,047.90

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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.