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Finding the Third Proportional to 932,714,999,225.50 and 1,433,013,510,837.60

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Solution

The third proportional to 932,714,999,225.50 and 1,433,013,510,837.60 is: 2,201,666,879,966.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,714,999,225.50 : 1,433,013,510,837.60 = 1,433,013,510,837.60 : x
  2. Step 2: Convert to fraction form
    932,714,999,225.50/1,433,013,510,837.60 = 1,433,013,510,837.60/x
  3. Step 3: Cross multiply
    932,714,999,225.50x = 1,433,013,510,837.60 × 1,433,013,510,837.60
  4. Step 4: Simplify right side
    932,714,999,225.50x = 2,053,527,722,243,104,681,492,480
  5. Step 5: Solve for x
    x = 2,053,527,722,243,104,681,492,480/932,714,999,225.50
  6. Step 6: Final answer
    x = 2,201,666,879,966.87

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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.