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Finding the Third Proportional to 435,835,547,842.50 and 613,485,044,892

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Solution

The third proportional to 435,835,547,842.50 and 613,485,044,892 is: 863,545,670,308.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,835,547,842.50 : 613,485,044,892 = 613,485,044,892 : x
  2. Step 2: Convert to fraction form
    435,835,547,842.50/613,485,044,892 = 613,485,044,892/x
  3. Step 3: Cross multiply
    435,835,547,842.50x = 613,485,044,892 × 613,485,044,892
  4. Step 4: Simplify right side
    435,835,547,842.50x = 376,363,900,306,139,234,959,360
  5. Step 5: Solve for x
    x = 376,363,900,306,139,234,959,360/435,835,547,842.50
  6. Step 6: Final answer
    x = 863,545,670,308.99

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.