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Finding the Third Proportional to 174,547,074 and 379,739,518.25

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Solution

The third proportional to 174,547,074 and 379,739,518.25 is: 826,150,209.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,547,074 : 379,739,518.25 = 379,739,518.25 : x
  2. Step 2: Convert to fraction form
    174,547,074/379,739,518.25 = 379,739,518.25/x
  3. Step 3: Cross multiply
    174,547,074x = 379,739,518.25 × 379,739,518.25
  4. Step 4: Simplify right side
    174,547,074x = 144,202,101,720,742,080
  5. Step 5: Solve for x
    x = 144,202,101,720,742,080/174,547,074
  6. Step 6: Final answer
    x = 826,150,209.32

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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.