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Finding the Third Proportional to 13,857,709,829 and 32,335,773,708

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Solution

The third proportional to 13,857,709,829 and 32,335,773,708 is: 75,452,746,102.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,857,709,829 : 32,335,773,708 = 32,335,773,708 : x
  2. Step 2: Convert to fraction form
    13,857,709,829/32,335,773,708 = 32,335,773,708/x
  3. Step 3: Cross multiply
    13,857,709,829x = 32,335,773,708 × 32,335,773,708
  4. Step 4: Simplify right side
    13,857,709,829x = 1,045,602,261,294,984,069,120
  5. Step 5: Solve for x
    x = 1,045,602,261,294,984,069,120/13,857,709,829
  6. Step 6: Final answer
    x = 75,452,746,102.88

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.