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Finding the Third Proportional to 66,945,653,403 and 145,658,692,938

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Solution

The third proportional to 66,945,653,403 and 145,658,692,938 is: 316,920,572,881.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,945,653,403 : 145,658,692,938 = 145,658,692,938 : x
  2. Step 2: Convert to fraction form
    66,945,653,403/145,658,692,938 = 145,658,692,938/x
  3. Step 3: Cross multiply
    66,945,653,403x = 145,658,692,938 × 145,658,692,938
  4. Step 4: Simplify right side
    66,945,653,403x = 21,216,454,828,406,572,318,720
  5. Step 5: Solve for x
    x = 21,216,454,828,406,572,318,720/66,945,653,403
  6. Step 6: Final answer
    x = 316,920,572,881.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.