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Finding the Third Proportional to 6,712,654,641 and 10,530,174,213

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Solution

The third proportional to 6,712,654,641 and 10,530,174,213 is: 16,518,735,863.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,712,654,641 : 10,530,174,213 = 10,530,174,213 : x
  2. Step 2: Convert to fraction form
    6,712,654,641/10,530,174,213 = 10,530,174,213/x
  3. Step 3: Cross multiply
    6,712,654,641x = 10,530,174,213 × 10,530,174,213
  4. Step 4: Simplify right side
    6,712,654,641x = 110,884,568,956,130,164,736
  5. Step 5: Solve for x
    x = 110,884,568,956,130,164,736/6,712,654,641
  6. Step 6: Final answer
    x = 16,518,735,863.28

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.