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Finding the Third Proportional to 846,343,980 and 1,307,248,038

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Solution

The third proportional to 846,343,980 and 1,307,248,038 is: 2,019,152,346.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,343,980 : 1,307,248,038 = 1,307,248,038 : x
  2. Step 2: Convert to fraction form
    846,343,980/1,307,248,038 = 1,307,248,038/x
  3. Step 3: Cross multiply
    846,343,980x = 1,307,248,038 × 1,307,248,038
  4. Step 4: Simplify right side
    846,343,980x = 1,708,897,432,854,849,536
  5. Step 5: Solve for x
    x = 1,708,897,432,854,849,536/846,343,980
  6. Step 6: Final answer
    x = 2,019,152,346.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.