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Finding the Third Proportional to 346,661,514 and 705,429,895.50

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Solution

The third proportional to 346,661,514 and 705,429,895.50 is: 1,435,496,348.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,661,514 : 705,429,895.50 = 705,429,895.50 : x
  2. Step 2: Convert to fraction form
    346,661,514/705,429,895.50 = 705,429,895.50/x
  3. Step 3: Cross multiply
    346,661,514x = 705,429,895.50 × 705,429,895.50
  4. Step 4: Simplify right side
    346,661,514x = 497,631,337,465,140,928
  5. Step 5: Solve for x
    x = 497,631,337,465,140,928/346,661,514
  6. Step 6: Final answer
    x = 1,435,496,348.36

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.