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Finding the Third Proportional to 5,658,115,707 and 11,902,583,062.50

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Solution

The third proportional to 5,658,115,707 and 11,902,583,062.50 is: 25,038,633,159.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,658,115,707 : 11,902,583,062.50 = 11,902,583,062.50 : x
  2. Step 2: Convert to fraction form
    5,658,115,707/11,902,583,062.50 = 11,902,583,062.50/x
  3. Step 3: Cross multiply
    5,658,115,707x = 11,902,583,062.50 × 11,902,583,062.50
  4. Step 4: Simplify right side
    5,658,115,707x = 141,671,483,559,711,883,264
  5. Step 5: Solve for x
    x = 141,671,483,559,711,883,264/5,658,115,707
  6. Step 6: Final answer
    x = 25,038,633,159.17

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.