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Finding the Third Proportional to 1,007,811,949.50 and 1,564,779,000

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Solution

The third proportional to 1,007,811,949.50 and 1,564,779,000 is: 2,429,553,767.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007,811,949.50 : 1,564,779,000 = 1,564,779,000 : x
  2. Step 2: Convert to fraction form
    1,007,811,949.50/1,564,779,000 = 1,564,779,000/x
  3. Step 3: Cross multiply
    1,007,811,949.50x = 1,564,779,000 × 1,564,779,000
  4. Step 4: Simplify right side
    1,007,811,949.50x = 2,448,533,318,840,999,936
  5. Step 5: Solve for x
    x = 2,448,533,318,840,999,936/1,007,811,949.50
  6. Step 6: Final answer
    x = 2,429,553,767.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.