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Finding the Third Proportional to 31,430,603 and 46,952,332

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Solution

The third proportional to 31,430,603 and 46,952,332 is: 70,139,331.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,430,603 : 46,952,332 = 46,952,332 : x
  2. Step 2: Convert to fraction form
    31,430,603/46,952,332 = 46,952,332/x
  3. Step 3: Cross multiply
    31,430,603x = 46,952,332 × 46,952,332
  4. Step 4: Simplify right side
    31,430,603x = 2,204,521,480,238,224
  5. Step 5: Solve for x
    x = 2,204,521,480,238,224/31,430,603
  6. Step 6: Final answer
    x = 70,139,331.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.