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Finding the Third Proportional to 479,849,708,070 and 999,416,294,289

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Solution

The third proportional to 479,849,708,070 and 999,416,294,289 is: 2,081,553,687,523.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,849,708,070 : 999,416,294,289 = 999,416,294,289 : x
  2. Step 2: Convert to fraction form
    479,849,708,070/999,416,294,289 = 999,416,294,289/x
  3. Step 3: Cross multiply
    479,849,708,070x = 999,416,294,289 × 999,416,294,289
  4. Step 4: Simplify right side
    479,849,708,070x = 998,832,929,290,357,017,935,872
  5. Step 5: Solve for x
    x = 998,832,929,290,357,017,935,872/479,849,708,070
  6. Step 6: Final answer
    x = 2,081,553,687,523.86

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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.