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Finding the Third Proportional to 478,930,811.50 and 1,032,617,657

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Solution

The third proportional to 478,930,811.50 and 1,032,617,657 is: 2,226,416,008.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,930,811.50 : 1,032,617,657 = 1,032,617,657 : x
  2. Step 2: Convert to fraction form
    478,930,811.50/1,032,617,657 = 1,032,617,657/x
  3. Step 3: Cross multiply
    478,930,811.50x = 1,032,617,657 × 1,032,617,657
  4. Step 4: Simplify right side
    478,930,811.50x = 1,066,299,225,548,169,600
  5. Step 5: Solve for x
    x = 1,066,299,225,548,169,600/478,930,811.50
  6. Step 6: Final answer
    x = 2,226,416,008.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.