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Finding the Third Proportional to 6,403,817,326,784.50 and 9,755,772,734,929

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Solution

The third proportional to 6,403,817,326,784.50 and 9,755,772,734,929 is: 14,862,244,939,046.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,403,817,326,784.50 : 9,755,772,734,929 = 9,755,772,734,929 : x
  2. Step 2: Convert to fraction form
    6,403,817,326,784.50/9,755,772,734,929 = 9,755,772,734,929/x
  3. Step 3: Cross multiply
    6,403,817,326,784.50x = 9,755,772,734,929 × 9,755,772,734,929
  4. Step 4: Simplify right side
    6,403,817,326,784.50x = 95,175,101,655,584,052,994,899,968
  5. Step 5: Solve for x
    x = 95,175,101,655,584,052,994,899,968/6,403,817,326,784.50
  6. Step 6: Final answer
    x = 14,862,244,939,046.94

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.