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Finding the Third Proportional to 4,440,038,711.06 and 9,872,800,126.31

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Solution

The third proportional to 4,440,038,711.06 and 9,872,800,126.31 is: 21,953,002,817.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,440,038,711.06 : 9,872,800,126.31 = 9,872,800,126.31 : x
  2. Step 2: Convert to fraction form
    4,440,038,711.06/9,872,800,126.31 = 9,872,800,126.31/x
  3. Step 3: Cross multiply
    4,440,038,711.06x = 9,872,800,126.31 × 9,872,800,126.31
  4. Step 4: Simplify right side
    4,440,038,711.06x = 97,472,182,334,116,118,528
  5. Step 5: Solve for x
    x = 97,472,182,334,116,118,528/4,440,038,711.06
  6. Step 6: Final answer
    x = 21,953,002,817.58

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.