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Finding the Third Proportional to 455,984,702.02 and 924,657,711.05

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Solution

The third proportional to 455,984,702.02 and 924,657,711.05 is: 1,875,045,103.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,984,702.02 : 924,657,711.05 = 924,657,711.05 : x
  2. Step 2: Convert to fraction form
    455,984,702.02/924,657,711.05 = 924,657,711.05/x
  3. Step 3: Cross multiply
    455,984,702.02x = 924,657,711.05 × 924,657,711.05
  4. Step 4: Simplify right side
    455,984,702.02x = 854,991,882,598,455,424
  5. Step 5: Solve for x
    x = 854,991,882,598,455,424/455,984,702.02
  6. Step 6: Final answer
    x = 1,875,045,103.09

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.