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Finding the Third Proportional to 34,930,174,416 and 75,980,476,565

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Solution

The third proportional to 34,930,174,416 and 75,980,476,565 is: 165,273,518,256.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,930,174,416 : 75,980,476,565 = 75,980,476,565 : x
  2. Step 2: Convert to fraction form
    34,930,174,416/75,980,476,565 = 75,980,476,565/x
  3. Step 3: Cross multiply
    34,930,174,416x = 75,980,476,565 × 75,980,476,565
  4. Step 4: Simplify right side
    34,930,174,416x = 5,773,032,819,044,513,742,848
  5. Step 5: Solve for x
    x = 5,773,032,819,044,513,742,848/34,930,174,416
  6. Step 6: Final answer
    x = 165,273,518,256.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.