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Finding the Third Proportional to 4,547,090 and 9,724,414

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Solution

The third proportional to 4,547,090 and 9,724,414 is: 20,796,647.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547,090 : 9,724,414 = 9,724,414 : x
  2. Step 2: Convert to fraction form
    4,547,090/9,724,414 = 9,724,414/x
  3. Step 3: Cross multiply
    4,547,090x = 9,724,414 × 9,724,414
  4. Step 4: Simplify right side
    4,547,090x = 94,564,227,643,396
  5. Step 5: Solve for x
    x = 94,564,227,643,396/4,547,090
  6. Step 6: Final answer
    x = 20,796,647.45

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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.