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Finding the Third Proportional to 5,549,174,386.50 and 8,017,598,705

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Solution

The third proportional to 5,549,174,386.50 and 8,017,598,705 is: 11,584,045,574.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,549,174,386.50 : 8,017,598,705 = 8,017,598,705 : x
  2. Step 2: Convert to fraction form
    5,549,174,386.50/8,017,598,705 = 8,017,598,705/x
  3. Step 3: Cross multiply
    5,549,174,386.50x = 8,017,598,705 × 8,017,598,705
  4. Step 4: Simplify right side
    5,549,174,386.50x = 64,281,888,994,417,680,384
  5. Step 5: Solve for x
    x = 64,281,888,994,417,680,384/5,549,174,386.50
  6. Step 6: Final answer
    x = 11,584,045,574.56

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.