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Finding the Third Proportional to 574,487,811 and 909,827,110.50

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Solution

The third proportional to 574,487,811 and 909,827,110.50 is: 1,440,910,242.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,487,811 : 909,827,110.50 = 909,827,110.50 : x
  2. Step 2: Convert to fraction form
    574,487,811/909,827,110.50 = 909,827,110.50/x
  3. Step 3: Cross multiply
    574,487,811x = 909,827,110.50 × 909,827,110.50
  4. Step 4: Simplify right side
    574,487,811x = 827,785,371,000,779,264
  5. Step 5: Solve for x
    x = 827,785,371,000,779,264/574,487,811
  6. Step 6: Final answer
    x = 1,440,910,242.39

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.