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Finding the Third Proportional to 35,077,328,046 and 81,849,927,303

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Solution

The third proportional to 35,077,328,046 and 81,849,927,303 is: 190,989,763,836.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,077,328,046 : 81,849,927,303 = 81,849,927,303 : x
  2. Step 2: Convert to fraction form
    35,077,328,046/81,849,927,303 = 81,849,927,303/x
  3. Step 3: Cross multiply
    35,077,328,046x = 81,849,927,303 × 81,849,927,303
  4. Step 4: Simplify right side
    35,077,328,046x = 6,699,410,599,506,384,781,312
  5. Step 5: Solve for x
    x = 6,699,410,599,506,384,781,312/35,077,328,046
  6. Step 6: Final answer
    x = 190,989,763,836.08

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.