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Finding the Third Proportional to 532,734,849,020 and 1,257,158,898,728

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Solution

The third proportional to 532,734,849,020 and 1,257,158,898,728 is: 2,966,670,003,958.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,734,849,020 : 1,257,158,898,728 = 1,257,158,898,728 : x
  2. Step 2: Convert to fraction form
    532,734,849,020/1,257,158,898,728 = 1,257,158,898,728/x
  3. Step 3: Cross multiply
    532,734,849,020x = 1,257,158,898,728 × 1,257,158,898,728
  4. Step 4: Simplify right side
    532,734,849,020x = 1,580,448,496,650,997,804,826,624
  5. Step 5: Solve for x
    x = 1,580,448,496,650,997,804,826,624/532,734,849,020
  6. Step 6: Final answer
    x = 2,966,670,003,958.51

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.