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Finding the Third Proportional to 1,098,448,668.42 and 1,657,887,967.05

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Solution

The third proportional to 1,098,448,668.42 and 1,657,887,967.05 is: 2,502,249,390.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098,448,668.42 : 1,657,887,967.05 = 1,657,887,967.05 : x
  2. Step 2: Convert to fraction form
    1,098,448,668.42/1,657,887,967.05 = 1,657,887,967.05/x
  3. Step 3: Cross multiply
    1,098,448,668.42x = 1,657,887,967.05 × 1,657,887,967.05
  4. Step 4: Simplify right side
    1,098,448,668.42x = 2,748,592,511,304,434,688
  5. Step 5: Solve for x
    x = 2,748,592,511,304,434,688/1,098,448,668.42
  6. Step 6: Final answer
    x = 2,502,249,390.73

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.