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Finding the Third Proportional to 510,336,547 and 1,113,040,552

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Solution

The third proportional to 510,336,547 and 1,113,040,552 is: 2,427,533,904.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,336,547 : 1,113,040,552 = 1,113,040,552 : x
  2. Step 2: Convert to fraction form
    510,336,547/1,113,040,552 = 1,113,040,552/x
  3. Step 3: Cross multiply
    510,336,547x = 1,113,040,552 × 1,113,040,552
  4. Step 4: Simplify right side
    510,336,547x = 1,238,859,270,396,464,640
  5. Step 5: Solve for x
    x = 1,238,859,270,396,464,640/510,336,547
  6. Step 6: Final answer
    x = 2,427,533,904.20

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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.