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Finding the Third Proportional to 532,313,504 and 1,158,360,814

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Solution

The third proportional to 532,313,504 and 1,158,360,814 is: 2,520,694,600.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,313,504 : 1,158,360,814 = 1,158,360,814 : x
  2. Step 2: Convert to fraction form
    532,313,504/1,158,360,814 = 1,158,360,814/x
  3. Step 3: Cross multiply
    532,313,504x = 1,158,360,814 × 1,158,360,814
  4. Step 4: Simplify right side
    532,313,504x = 1,341,799,775,410,742,528
  5. Step 5: Solve for x
    x = 1,341,799,775,410,742,528/532,313,504
  6. Step 6: Final answer
    x = 2,520,694,600.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.