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Finding the Third Proportional to 484,724,160 and 767,666,732

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Solution

The third proportional to 484,724,160 and 767,666,732 is: 1,215,768,183.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,724,160 : 767,666,732 = 767,666,732 : x
  2. Step 2: Convert to fraction form
    484,724,160/767,666,732 = 767,666,732/x
  3. Step 3: Cross multiply
    484,724,160x = 767,666,732 × 767,666,732
  4. Step 4: Simplify right side
    484,724,160x = 589,312,211,419,559,808
  5. Step 5: Solve for x
    x = 589,312,211,419,559,808/484,724,160
  6. Step 6: Final answer
    x = 1,215,768,183.33

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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.