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Finding the Third Proportional to 477,828,174,981 and 1,023,812,013,894

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Solution

The third proportional to 477,828,174,981 and 1,023,812,013,894 is: 2,193,656,830,377.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,828,174,981 : 1,023,812,013,894 = 1,023,812,013,894 : x
  2. Step 2: Convert to fraction form
    477,828,174,981/1,023,812,013,894 = 1,023,812,013,894/x
  3. Step 3: Cross multiply
    477,828,174,981x = 1,023,812,013,894 × 1,023,812,013,894
  4. Step 4: Simplify right side
    477,828,174,981x = 1,048,191,039,793,687,997,448,192
  5. Step 5: Solve for x
    x = 1,048,191,039,793,687,997,448,192/477,828,174,981
  6. Step 6: Final answer
    x = 2,193,656,830,377.09

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.