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Finding the Third Proportional to 2,159,430,069,552 and 4,643,846,939,472

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Solution

The third proportional to 2,159,430,069,552 and 4,643,846,939,472 is: 9,986,576,875,683.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159,430,069,552 : 4,643,846,939,472 = 4,643,846,939,472 : x
  2. Step 2: Convert to fraction form
    2,159,430,069,552/4,643,846,939,472 = 4,643,846,939,472/x
  3. Step 3: Cross multiply
    2,159,430,069,552x = 4,643,846,939,472 × 4,643,846,939,472
  4. Step 4: Simplify right side
    2,159,430,069,552x = 21,565,314,397,243,462,828,163,072
  5. Step 5: Solve for x
    x = 21,565,314,397,243,462,828,163,072/2,159,430,069,552
  6. Step 6: Final answer
    x = 9,986,576,875,683.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.