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Finding the Third Proportional to 1,975,783,428 and 4,295,927,502

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Solution

The third proportional to 1,975,783,428 and 4,295,927,502 is: 9,340,595,148.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975,783,428 : 4,295,927,502 = 4,295,927,502 : x
  2. Step 2: Convert to fraction form
    1,975,783,428/4,295,927,502 = 4,295,927,502/x
  3. Step 3: Cross multiply
    1,975,783,428x = 4,295,927,502 × 4,295,927,502
  4. Step 4: Simplify right side
    1,975,783,428x = 18,454,993,102,439,960,576
  5. Step 5: Solve for x
    x = 18,454,993,102,439,960,576/1,975,783,428
  6. Step 6: Final answer
    x = 9,340,595,148.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.