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Finding the Third Proportional to 909,695,502 and 1,397,403,562.50

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Solution

The third proportional to 909,695,502 and 1,397,403,562.50 is: 2,146,582,798.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,695,502 : 1,397,403,562.50 = 1,397,403,562.50 : x
  2. Step 2: Convert to fraction form
    909,695,502/1,397,403,562.50 = 1,397,403,562.50/x
  3. Step 3: Cross multiply
    909,695,502x = 1,397,403,562.50 × 1,397,403,562.50
  4. Step 4: Simplify right side
    909,695,502x = 1,952,736,716,487,691,520
  5. Step 5: Solve for x
    x = 1,952,736,716,487,691,520/909,695,502
  6. Step 6: Final answer
    x = 2,146,582,798.52

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