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Finding the Third Proportional to 3,547,450 and 7,781,618

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Solution

The third proportional to 3,547,450 and 7,781,618 is: 17,069,607.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547,450 : 7,781,618 = 7,781,618 : x
  2. Step 2: Convert to fraction form
    3,547,450/7,781,618 = 7,781,618/x
  3. Step 3: Cross multiply
    3,547,450x = 7,781,618 × 7,781,618
  4. Step 4: Simplify right side
    3,547,450x = 60,553,578,697,924
  5. Step 5: Solve for x
    x = 60,553,578,697,924/3,547,450
  6. Step 6: Final answer
    x = 17,069,607.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.