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Finding the Third Proportional to 2,879,098,249,654 and 5,996,497,767,932

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Solution

The third proportional to 2,879,098,249,654 and 5,996,497,767,932 is: 12,489,322,128,946.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,879,098,249,654 : 5,996,497,767,932 = 5,996,497,767,932 : x
  2. Step 2: Convert to fraction form
    2,879,098,249,654/5,996,497,767,932 = 5,996,497,767,932/x
  3. Step 3: Cross multiply
    2,879,098,249,654x = 5,996,497,767,932 × 5,996,497,767,932
  4. Step 4: Simplify right side
    2,879,098,249,654x = 35,957,985,480,813,457,090,543,616
  5. Step 5: Solve for x
    x = 35,957,985,480,813,457,090,543,616/2,879,098,249,654
  6. Step 6: Final answer
    x = 12,489,322,128,946.02

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.