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Finding the Third Proportional to 2,367,071,740 and 5,146,144,968

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Solution

The third proportional to 2,367,071,740 and 5,146,144,968 is: 11,188,003,973.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367,071,740 : 5,146,144,968 = 5,146,144,968 : x
  2. Step 2: Convert to fraction form
    2,367,071,740/5,146,144,968 = 5,146,144,968/x
  3. Step 3: Cross multiply
    2,367,071,740x = 5,146,144,968 × 5,146,144,968
  4. Step 4: Simplify right side
    2,367,071,740x = 26,482,808,031,671,721,984
  5. Step 5: Solve for x
    x = 26,482,808,031,671,721,984/2,367,071,740
  6. Step 6: Final answer
    x = 11,188,003,973.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.