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Finding the Third Proportional to 1,161,147,068,688 and 1,614,482,186,886

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Solution

The third proportional to 1,161,147,068,688 and 1,614,482,186,886 is: 2,244,808,433,024.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161,147,068,688 : 1,614,482,186,886 = 1,614,482,186,886 : x
  2. Step 2: Convert to fraction form
    1,161,147,068,688/1,614,482,186,886 = 1,614,482,186,886/x
  3. Step 3: Cross multiply
    1,161,147,068,688x = 1,614,482,186,886 × 1,614,482,186,886
  4. Step 4: Simplify right side
    1,161,147,068,688x = 2,606,552,731,772,200,975,073,280
  5. Step 5: Solve for x
    x = 2,606,552,731,772,200,975,073,280/1,161,147,068,688
  6. Step 6: Final answer
    x = 2,244,808,433,024.24

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.