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Finding the Third Proportional to 730,048,847,006 and 1,073,204,191,030

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Solution

The third proportional to 730,048,847,006 and 1,073,204,191,030 is: 1,577,657,769,569.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,048,847,006 : 1,073,204,191,030 = 1,073,204,191,030 : x
  2. Step 2: Convert to fraction form
    730,048,847,006/1,073,204,191,030 = 1,073,204,191,030/x
  3. Step 3: Cross multiply
    730,048,847,006x = 1,073,204,191,030 × 1,073,204,191,030
  4. Step 4: Simplify right side
    730,048,847,006x = 1,151,767,235,644,356,760,174,592
  5. Step 5: Solve for x
    x = 1,151,767,235,644,356,760,174,592/730,048,847,006
  6. Step 6: Final answer
    x = 1,577,657,769,569.62

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.