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Finding the Third Proportional to 64,671,571,033 and 141,534,681,001

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Solution

The third proportional to 64,671,571,033 and 141,534,681,001 is: 309,750,723,634.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,671,571,033 : 141,534,681,001 = 141,534,681,001 : x
  2. Step 2: Convert to fraction form
    64,671,571,033/141,534,681,001 = 141,534,681,001/x
  3. Step 3: Cross multiply
    64,671,571,033x = 141,534,681,001 × 141,534,681,001
  4. Step 4: Simplify right side
    64,671,571,033x = 20,032,065,926,054,828,572,672
  5. Step 5: Solve for x
    x = 20,032,065,926,054,828,572,672/64,671,571,033
  6. Step 6: Final answer
    x = 309,750,723,634.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.