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Finding the Third Proportional to 10,471,326,107 and 14,693,343,430

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Solution

The third proportional to 10,471,326,107 and 14,693,343,430 is: 20,617,669,523.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471,326,107 : 14,693,343,430 = 14,693,343,430 : x
  2. Step 2: Convert to fraction form
    10,471,326,107/14,693,343,430 = 14,693,343,430/x
  3. Step 3: Cross multiply
    10,471,326,107x = 14,693,343,430 × 14,693,343,430
  4. Step 4: Simplify right side
    10,471,326,107x = 215,894,341,151,924,158,464
  5. Step 5: Solve for x
    x = 215,894,341,151,924,158,464/10,471,326,107
  6. Step 6: Final answer
    x = 20,617,669,523.98

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.