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Finding the Third Proportional to 730,048,847,008 and 1,073,204,191,033

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Solution

The third proportional to 730,048,847,008 and 1,073,204,191,033 is: 1,577,657,769,574.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,048,847,008 : 1,073,204,191,033 = 1,073,204,191,033 : x
  2. Step 2: Convert to fraction form
    730,048,847,008/1,073,204,191,033 = 1,073,204,191,033/x
  3. Step 3: Cross multiply
    730,048,847,008x = 1,073,204,191,033 × 1,073,204,191,033
  4. Step 4: Simplify right side
    730,048,847,008x = 1,151,767,235,650,795,989,893,120
  5. Step 5: Solve for x
    x = 1,151,767,235,650,795,989,893,120/730,048,847,008
  6. Step 6: Final answer
    x = 1,577,657,769,574.12

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Why These Related Problems?

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