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Finding the Third Proportional to 555,309,698,618 and 781,998,423,523

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Solution

The third proportional to 555,309,698,618 and 781,998,423,523 is: 1,101,226,101,244.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,309,698,618 : 781,998,423,523 = 781,998,423,523 : x
  2. Step 2: Convert to fraction form
    555,309,698,618/781,998,423,523 = 781,998,423,523/x
  3. Step 3: Cross multiply
    555,309,698,618x = 781,998,423,523 × 781,998,423,523
  4. Step 4: Simplify right side
    555,309,698,618x = 611,521,534,392,457,326,755,840
  5. Step 5: Solve for x
    x = 611,521,534,392,457,326,755,840/555,309,698,618
  6. Step 6: Final answer
    x = 1,101,226,101,244.68

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.