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Finding the Third Proportional to 12,475,730 and 19,849,179

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Solution

The third proportional to 12,475,730 and 19,849,179 is: 31,580,509.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,475,730 : 19,849,179 = 19,849,179 : x
  2. Step 2: Convert to fraction form
    12,475,730/19,849,179 = 19,849,179/x
  3. Step 3: Cross multiply
    12,475,730x = 19,849,179 × 19,849,179
  4. Step 4: Simplify right side
    12,475,730x = 393,989,906,974,041
  5. Step 5: Solve for x
    x = 393,989,906,974,041/12,475,730
  6. Step 6: Final answer
    x = 31,580,509.27

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.