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Finding the Third Proportional to 482,912,688 and 1,047,490,056

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Solution

The third proportional to 482,912,688 and 1,047,490,056 is: 2,272,119,670.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,912,688 : 1,047,490,056 = 1,047,490,056 : x
  2. Step 2: Convert to fraction form
    482,912,688/1,047,490,056 = 1,047,490,056/x
  3. Step 3: Cross multiply
    482,912,688x = 1,047,490,056 × 1,047,490,056
  4. Step 4: Simplify right side
    482,912,688x = 1,097,235,417,418,883,072
  5. Step 5: Solve for x
    x = 1,097,235,417,418,883,072/482,912,688
  6. Step 6: Final answer
    x = 2,272,119,670.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.