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Finding the Third Proportional to 225,343,929 and 474,897,948

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Solution

The third proportional to 225,343,929 and 474,897,948 is: 1,000,817,115.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,343,929 : 474,897,948 = 474,897,948 : x
  2. Step 2: Convert to fraction form
    225,343,929/474,897,948 = 474,897,948/x
  3. Step 3: Cross multiply
    225,343,929x = 474,897,948 × 474,897,948
  4. Step 4: Simplify right side
    225,343,929x = 225,528,061,014,610,688
  5. Step 5: Solve for x
    x = 225,528,061,014,610,688/225,343,929
  6. Step 6: Final answer
    x = 1,000,817,115.49

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.