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Finding the Third Proportional to 502,349,547,276 and 772,147,270,674

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Solution

The third proportional to 502,349,547,276 and 772,147,270,674 is: 1,186,845,714,985.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,349,547,276 : 772,147,270,674 = 772,147,270,674 : x
  2. Step 2: Convert to fraction form
    502,349,547,276/772,147,270,674 = 772,147,270,674/x
  3. Step 3: Cross multiply
    502,349,547,276x = 772,147,270,674 × 772,147,270,674
  4. Step 4: Simplify right side
    502,349,547,276x = 596,211,407,609,307,422,785,536
  5. Step 5: Solve for x
    x = 596,211,407,609,307,422,785,536/502,349,547,276
  6. Step 6: Final answer
    x = 1,186,845,714,985.26

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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.