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Finding the Third Proportional to 19,849,246,014 and 30,731,001,312

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Solution

The third proportional to 19,849,246,014 and 30,731,001,312 is: 47,578,353,403.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,849,246,014 : 30,731,001,312 = 30,731,001,312 : x
  2. Step 2: Convert to fraction form
    19,849,246,014/30,731,001,312 = 30,731,001,312/x
  3. Step 3: Cross multiply
    19,849,246,014x = 30,731,001,312 × 30,731,001,312
  4. Step 4: Simplify right side
    19,849,246,014x = 944,394,441,638,145,687,552
  5. Step 5: Solve for x
    x = 944,394,441,638,145,687,552/19,849,246,014
  6. Step 6: Final answer
    x = 47,578,353,403.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.