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Finding the Third Proportional to 2,988,525,830 and 6,540,024,416

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Solution

The third proportional to 2,988,525,830 and 6,540,024,416 is: 14,312,046,070.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,988,525,830 : 6,540,024,416 = 6,540,024,416 : x
  2. Step 2: Convert to fraction form
    2,988,525,830/6,540,024,416 = 6,540,024,416/x
  3. Step 3: Cross multiply
    2,988,525,830x = 6,540,024,416 × 6,540,024,416
  4. Step 4: Simplify right side
    2,988,525,830x = 42,771,919,361,876,140,032
  5. Step 5: Solve for x
    x = 42,771,919,361,876,140,032/2,988,525,830
  6. Step 6: Final answer
    x = 14,312,046,070.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.