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Finding the Third Proportional to 186,018,336 and 434,484,486

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Solution

The third proportional to 186,018,336 and 434,484,486 is: 1,014,828,820.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,018,336 : 434,484,486 = 434,484,486 : x
  2. Step 2: Convert to fraction form
    186,018,336/434,484,486 = 434,484,486/x
  3. Step 3: Cross multiply
    186,018,336x = 434,484,486 × 434,484,486
  4. Step 4: Simplify right side
    186,018,336x = 188,776,768,574,684,192
  5. Step 5: Solve for x
    x = 188,776,768,574,684,192/186,018,336
  6. Step 6: Final answer
    x = 1,014,828,820.82

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.