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Finding the Third Proportional to 15,262,071,702 and 23,038,207,389

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Solution

The third proportional to 15,262,071,702 and 23,038,207,389 is: 34,776,340,333.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,262,071,702 : 23,038,207,389 = 23,038,207,389 : x
  2. Step 2: Convert to fraction form
    15,262,071,702/23,038,207,389 = 23,038,207,389/x
  3. Step 3: Cross multiply
    15,262,071,702x = 23,038,207,389 × 23,038,207,389
  4. Step 4: Simplify right side
    15,262,071,702x = 530,758,999,698,574,213,120
  5. Step 5: Solve for x
    x = 530,758,999,698,574,213,120/15,262,071,702
  6. Step 6: Final answer
    x = 34,776,340,333.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.