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Finding the Third Proportional to 6,740,948 and 14,426,680

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Solution

The third proportional to 6,740,948 and 14,426,680 is: 30,875,345.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,740,948 : 14,426,680 = 14,426,680 : x
  2. Step 2: Convert to fraction form
    6,740,948/14,426,680 = 14,426,680/x
  3. Step 3: Cross multiply
    6,740,948x = 14,426,680 × 14,426,680
  4. Step 4: Simplify right side
    6,740,948x = 208,129,095,822,400
  5. Step 5: Solve for x
    x = 208,129,095,822,400/6,740,948
  6. Step 6: Final answer
    x = 30,875,345.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.