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Finding the Third Proportional to 3,209,960,748 and 6,510,178,284

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Solution

The third proportional to 3,209,960,748 and 6,510,178,284 is: 13,203,407,959.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209,960,748 : 6,510,178,284 = 6,510,178,284 : x
  2. Step 2: Convert to fraction form
    3,209,960,748/6,510,178,284 = 6,510,178,284/x
  3. Step 3: Cross multiply
    3,209,960,748x = 6,510,178,284 × 6,510,178,284
  4. Step 4: Simplify right side
    3,209,960,748x = 42,382,421,289,465,184,256
  5. Step 5: Solve for x
    x = 42,382,421,289,465,184,256/3,209,960,748
  6. Step 6: Final answer
    x = 13,203,407,959.39

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.