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Finding the Third Proportional to 4,974,768 and 10,547,382

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Solution

The third proportional to 4,974,768 and 10,547,382 is: 22,362,302.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974,768 : 10,547,382 = 10,547,382 : x
  2. Step 2: Convert to fraction form
    4,974,768/10,547,382 = 10,547,382/x
  3. Step 3: Cross multiply
    4,974,768x = 10,547,382 × 10,547,382
  4. Step 4: Simplify right side
    4,974,768x = 111,247,267,053,924
  5. Step 5: Solve for x
    x = 111,247,267,053,924/4,974,768
  6. Step 6: Final answer
    x = 22,362,302.53

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.