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Finding the Third Proportional to 10,210,410 and 21,772,386

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Solution

The third proportional to 10,210,410 and 21,772,386 is: 46,426,812.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,210,410 : 21,772,386 = 21,772,386 : x
  2. Step 2: Convert to fraction form
    10,210,410/21,772,386 = 21,772,386/x
  3. Step 3: Cross multiply
    10,210,410x = 21,772,386 × 21,772,386
  4. Step 4: Simplify right side
    10,210,410x = 474,036,792,132,996
  5. Step 5: Solve for x
    x = 474,036,792,132,996/10,210,410
  6. Step 6: Final answer
    x = 46,426,812.65

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.