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Finding the Third Proportional to 68,996,581 and 147,566,511

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Solution

The third proportional to 68,996,581 and 147,566,511 is: 315,608,032.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,996,581 : 147,566,511 = 147,566,511 : x
  2. Step 2: Convert to fraction form
    68,996,581/147,566,511 = 147,566,511/x
  3. Step 3: Cross multiply
    68,996,581x = 147,566,511 × 147,566,511
  4. Step 4: Simplify right side
    68,996,581x = 21,775,875,168,713,120
  5. Step 5: Solve for x
    x = 21,775,875,168,713,120/68,996,581
  6. Step 6: Final answer
    x = 315,608,032.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.