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Finding the Third Proportional to 484,724,137.50 and 767,666,694

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Solution

The third proportional to 484,724,137.50 and 767,666,694 is: 1,215,768,119.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,724,137.50 : 767,666,694 = 767,666,694 : x
  2. Step 2: Convert to fraction form
    484,724,137.50/767,666,694 = 767,666,694/x
  3. Step 3: Cross multiply
    484,724,137.50x = 767,666,694 × 767,666,694
  4. Step 4: Simplify right side
    484,724,137.50x = 589,312,153,076,889,600
  5. Step 5: Solve for x
    x = 589,312,153,076,889,600/484,724,137.50
  6. Step 6: Final answer
    x = 1,215,768,119.40

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.