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Finding the Third Proportional to 34,249,882 and 46,965,830

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Solution

The third proportional to 34,249,882 and 46,965,830 is: 64,402,825.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,249,882 : 46,965,830 = 46,965,830 : x
  2. Step 2: Convert to fraction form
    34,249,882/46,965,830 = 46,965,830/x
  3. Step 3: Cross multiply
    34,249,882x = 46,965,830 × 46,965,830
  4. Step 4: Simplify right side
    34,249,882x = 2,205,789,187,588,900
  5. Step 5: Solve for x
    x = 2,205,789,187,588,900/34,249,882
  6. Step 6: Final answer
    x = 64,402,825.90

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.