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Finding the Third Proportional to 545,989,137,525 and 1,187,010,602,784

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Solution

The third proportional to 545,989,137,525 and 1,187,010,602,784 is: 2,580,626,745,632.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,989,137,525 : 1,187,010,602,784 = 1,187,010,602,784 : x
  2. Step 2: Convert to fraction form
    545,989,137,525/1,187,010,602,784 = 1,187,010,602,784/x
  3. Step 3: Cross multiply
    545,989,137,525x = 1,187,010,602,784 × 1,187,010,602,784
  4. Step 4: Simplify right side
    545,989,137,525x = 1,408,994,171,121,635,036,233,728
  5. Step 5: Solve for x
    x = 1,408,994,171,121,635,036,233,728/545,989,137,525
  6. Step 6: Final answer
    x = 2,580,626,745,632.13

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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.