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Finding the Third Proportional to 2,960,407 and 6,377,618

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Solution

The third proportional to 2,960,407 and 6,377,618 is: 13,739,330.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,960,407 : 6,377,618 = 6,377,618 : x
  2. Step 2: Convert to fraction form
    2,960,407/6,377,618 = 6,377,618/x
  3. Step 3: Cross multiply
    2,960,407x = 6,377,618 × 6,377,618
  4. Step 4: Simplify right side
    2,960,407x = 40,674,011,353,924
  5. Step 5: Solve for x
    x = 40,674,011,353,924/2,960,407
  6. Step 6: Final answer
    x = 13,739,330.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.