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Finding the Third Proportional to 581,737,039 and 926,106,178.50

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Solution

The third proportional to 581,737,039 and 926,106,178.50 is: 1,474,330,490.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,737,039 : 926,106,178.50 = 926,106,178.50 : x
  2. Step 2: Convert to fraction form
    581,737,039/926,106,178.50 = 926,106,178.50/x
  3. Step 3: Cross multiply
    581,737,039x = 926,106,178.50 × 926,106,178.50
  4. Step 4: Simplify right side
    581,737,039x = 857,672,653,855,873,920
  5. Step 5: Solve for x
    x = 857,672,653,855,873,920/581,737,039
  6. Step 6: Final answer
    x = 1,474,330,490.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.