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Finding the Third Proportional to 45,768,681.75 and 69,078,654

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Solution

The third proportional to 45,768,681.75 and 69,078,654 is: 104,260,386.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,768,681.75 : 69,078,654 = 69,078,654 : x
  2. Step 2: Convert to fraction form
    45,768,681.75/69,078,654 = 69,078,654/x
  3. Step 3: Cross multiply
    45,768,681.75x = 69,078,654 × 69,078,654
  4. Step 4: Simplify right side
    45,768,681.75x = 4,771,860,438,451,716
  5. Step 5: Solve for x
    x = 4,771,860,438,451,716/45,768,681.75
  6. Step 6: Final answer
    x = 104,260,386.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.