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Finding the Third Proportional to 2,909,442,588 and 6,382,168,248

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Solution

The third proportional to 2,909,442,588 and 6,382,168,248 is: 13,999,957,144.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909,442,588 : 6,382,168,248 = 6,382,168,248 : x
  2. Step 2: Convert to fraction form
    2,909,442,588/6,382,168,248 = 6,382,168,248/x
  3. Step 3: Cross multiply
    2,909,442,588x = 6,382,168,248 × 6,382,168,248
  4. Step 4: Simplify right side
    2,909,442,588x = 40,732,071,545,779,388,416
  5. Step 5: Solve for x
    x = 40,732,071,545,779,388,416/2,909,442,588
  6. Step 6: Final answer
    x = 13,999,957,144.29

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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.