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Finding the Third Proportional to 4,258,605,689 and 9,318,657,658

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Solution

The third proportional to 4,258,605,689 and 9,318,657,658 is: 20,391,035,678.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,258,605,689 : 9,318,657,658 = 9,318,657,658 : x
  2. Step 2: Convert to fraction form
    4,258,605,689/9,318,657,658 = 9,318,657,658/x
  3. Step 3: Cross multiply
    4,258,605,689x = 9,318,657,658 × 9,318,657,658
  4. Step 4: Simplify right side
    4,258,605,689x = 86,837,380,547,002,040,320
  5. Step 5: Solve for x
    x = 86,837,380,547,002,040,320/4,258,605,689
  6. Step 6: Final answer
    x = 20,391,035,678.96

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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.