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Finding the Third Proportional to 25,461,520,678 and 53,561,623,776

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Solution

The third proportional to 25,461,520,678 and 53,561,623,776 is: 112,673,849,209.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,461,520,678 : 53,561,623,776 = 53,561,623,776 : x
  2. Step 2: Convert to fraction form
    25,461,520,678/53,561,623,776 = 53,561,623,776/x
  3. Step 3: Cross multiply
    25,461,520,678x = 53,561,623,776 × 53,561,623,776
  4. Step 4: Simplify right side
    25,461,520,678x = 2,868,847,541,521,768,513,536
  5. Step 5: Solve for x
    x = 2,868,847,541,521,768,513,536/25,461,520,678
  6. Step 6: Final answer
    x = 112,673,849,209.67

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.