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Finding the Third Proportional to 556,276,014 and 1,158,331,221

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Solution

The third proportional to 556,276,014 and 1,158,331,221 is: 2,411,988,264.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,276,014 : 1,158,331,221 = 1,158,331,221 : x
  2. Step 2: Convert to fraction form
    556,276,014/1,158,331,221 = 1,158,331,221/x
  3. Step 3: Cross multiply
    556,276,014x = 1,158,331,221 × 1,158,331,221
  4. Step 4: Simplify right side
    556,276,014x = 1,341,731,217,543,350,784
  5. Step 5: Solve for x
    x = 1,341,731,217,543,350,784/556,276,014
  6. Step 6: Final answer
    x = 2,411,988,264.41

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.