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Finding the Third Proportional to 13,857,709,825 and 32,335,773,698.50

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Solution

The third proportional to 13,857,709,825 and 32,335,773,698.50 is: 75,452,746,080.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,857,709,825 : 32,335,773,698.50 = 32,335,773,698.50 : x
  2. Step 2: Convert to fraction form
    13,857,709,825/32,335,773,698.50 = 32,335,773,698.50/x
  3. Step 3: Cross multiply
    13,857,709,825x = 32,335,773,698.50 × 32,335,773,698.50
  4. Step 4: Simplify right side
    13,857,709,825x = 1,045,602,260,680,604,385,280
  5. Step 5: Solve for x
    x = 1,045,602,260,680,604,385,280/13,857,709,825
  6. Step 6: Final answer
    x = 75,452,746,080.33

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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.