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Finding the Third Proportional to 5,674,101 and 12,312,711

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Solution

The third proportional to 5,674,101 and 12,312,711 is: 26,718,391.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674,101 : 12,312,711 = 12,312,711 : x
  2. Step 2: Convert to fraction form
    5,674,101/12,312,711 = 12,312,711/x
  3. Step 3: Cross multiply
    5,674,101x = 12,312,711 × 12,312,711
  4. Step 4: Simplify right side
    5,674,101x = 151,602,852,169,521
  5. Step 5: Solve for x
    x = 151,602,852,169,521/5,674,101
  6. Step 6: Final answer
    x = 26,718,391.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.