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Finding the Third Proportional to 4,258,208,799 and 9,319,154,301

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Solution

The third proportional to 4,258,208,799 and 9,319,154,301 is: 20,395,110,006.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,258,208,799 : 9,319,154,301 = 9,319,154,301 : x
  2. Step 2: Convert to fraction form
    4,258,208,799/9,319,154,301 = 9,319,154,301/x
  3. Step 3: Cross multiply
    4,258,208,799x = 9,319,154,301 × 9,319,154,301
  4. Step 4: Simplify right side
    4,258,208,799x = 86,846,636,885,846,802,432
  5. Step 5: Solve for x
    x = 86,846,636,885,846,802,432/4,258,208,799
  6. Step 6: Final answer
    x = 20,395,110,006.41

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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.