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Finding the Third Proportional to 14,406,810,057 and 31,218,168,294

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Solution

The third proportional to 14,406,810,057 and 31,218,168,294 is: 67,646,760,648.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,406,810,057 : 31,218,168,294 = 31,218,168,294 : x
  2. Step 2: Convert to fraction form
    14,406,810,057/31,218,168,294 = 31,218,168,294/x
  3. Step 3: Cross multiply
    14,406,810,057x = 31,218,168,294 × 31,218,168,294
  4. Step 4: Simplify right side
    14,406,810,057x = 974,574,031,632,506,814,464
  5. Step 5: Solve for x
    x = 974,574,031,632,506,814,464/14,406,810,057
  6. Step 6: Final answer
    x = 67,646,760,648.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.