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Finding the Third Proportional to 6,915,209 and 10,148,609

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Solution

The third proportional to 6,915,209 and 10,148,609 is: 14,893,875.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,915,209 : 10,148,609 = 10,148,609 : x
  2. Step 2: Convert to fraction form
    6,915,209/10,148,609 = 10,148,609/x
  3. Step 3: Cross multiply
    6,915,209x = 10,148,609 × 10,148,609
  4. Step 4: Simplify right side
    6,915,209x = 102,994,264,634,881
  5. Step 5: Solve for x
    x = 102,994,264,634,881/6,915,209
  6. Step 6: Final answer
    x = 14,893,875.90

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.