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Finding the Third Proportional to 724,463,577 and 1,129,742,041.50

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Solution

The third proportional to 724,463,577 and 1,129,742,041.50 is: 1,761,740,853.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,463,577 : 1,129,742,041.50 = 1,129,742,041.50 : x
  2. Step 2: Convert to fraction form
    724,463,577/1,129,742,041.50 = 1,129,742,041.50/x
  3. Step 3: Cross multiply
    724,463,577x = 1,129,742,041.50 × 1,129,742,041.50
  4. Step 4: Simplify right side
    724,463,577x = 1,276,317,080,332,587,776
  5. Step 5: Solve for x
    x = 1,276,317,080,332,587,776/724,463,577
  6. Step 6: Final answer
    x = 1,761,740,853.31

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.