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Finding the Third Proportional to 846,343,971 and 1,307,248,024.50

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Solution

The third proportional to 846,343,971 and 1,307,248,024.50 is: 2,019,152,325.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,343,971 : 1,307,248,024.50 = 1,307,248,024.50 : x
  2. Step 2: Convert to fraction form
    846,343,971/1,307,248,024.50 = 1,307,248,024.50/x
  3. Step 3: Cross multiply
    846,343,971x = 1,307,248,024.50 × 1,307,248,024.50
  4. Step 4: Simplify right side
    846,343,971x = 1,708,897,397,559,152,640
  5. Step 5: Solve for x
    x = 1,708,897,397,559,152,640/846,343,971
  6. Step 6: Final answer
    x = 2,019,152,325.90

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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.