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Finding the Third Proportional to 1,547,773,748,970.10 and 3,367,290,370,146.30

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Solution

The third proportional to 1,547,773,748,970.10 and 3,367,290,370,146.30 is: 7,325,776,422,054.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547,773,748,970.10 : 3,367,290,370,146.30 = 3,367,290,370,146.30 : x
  2. Step 2: Convert to fraction form
    1,547,773,748,970.10/3,367,290,370,146.30 = 3,367,290,370,146.30/x
  3. Step 3: Cross multiply
    1,547,773,748,970.10x = 3,367,290,370,146.30 × 3,367,290,370,146.30
  4. Step 4: Simplify right side
    1,547,773,748,970.10x = 11,338,644,436,880,004,105,633,792
  5. Step 5: Solve for x
    x = 11,338,644,436,880,004,105,633,792/1,547,773,748,970.10
  6. Step 6: Final answer
    x = 7,325,776,422,054.46

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.