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Finding the Third Proportional to 4,009,710,648.75 and 8,349,403,524.75

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Solution

The third proportional to 4,009,710,648.75 and 8,349,403,524.75 is: 17,385,927,645.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,009,710,648.75 : 8,349,403,524.75 = 8,349,403,524.75 : x
  2. Step 2: Convert to fraction form
    4,009,710,648.75/8,349,403,524.75 = 8,349,403,524.75/x
  3. Step 3: Cross multiply
    4,009,710,648.75x = 8,349,403,524.75 × 8,349,403,524.75
  4. Step 4: Simplify right side
    4,009,710,648.75x = 69,712,539,219,107,725,312
  5. Step 5: Solve for x
    x = 69,712,539,219,107,725,312/4,009,710,648.75
  6. Step 6: Final answer
    x = 17,385,927,645.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.