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Finding the Third Proportional to 35,768,497,321,944 and 77,804,005,506,282

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Solution

The third proportional to 35,768,497,321,944 and 77,804,005,506,282 is: 169,240,077,891,328.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,768,497,321,944 : 77,804,005,506,282 = 77,804,005,506,282 : x
  2. Step 2: Convert to fraction form
    35,768,497,321,944/77,804,005,506,282 = 77,804,005,506,282/x
  3. Step 3: Cross multiply
    35,768,497,321,944x = 77,804,005,506,282 × 77,804,005,506,282
  4. Step 4: Simplify right side
    35,768,497,321,944x = 6,053,463,272,821,560,176,692,690,944
  5. Step 5: Solve for x
    x = 6,053,463,272,821,560,176,692,690,944/35,768,497,321,944
  6. Step 6: Final answer
    x = 169,240,077,891,328.03

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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.