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Finding the Third Proportional to 1,559,976,480 and 3,174,433,776

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Solution

The third proportional to 1,559,976,480 and 3,174,433,776 is: 6,459,731,878.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,559,976,480 : 3,174,433,776 = 3,174,433,776 : x
  2. Step 2: Convert to fraction form
    1,559,976,480/3,174,433,776 = 3,174,433,776/x
  3. Step 3: Cross multiply
    1,559,976,480x = 3,174,433,776 × 3,174,433,776
  4. Step 4: Simplify right side
    1,559,976,480x = 10,077,029,798,209,617,920
  5. Step 5: Solve for x
    x = 10,077,029,798,209,617,920/1,559,976,480
  6. Step 6: Final answer
    x = 6,459,731,878.91

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.